Well-posedness and energy decay for Timoshenko systems with discrete time delay under frictional damping and/or infinite memory in the displacement View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2017-12

AUTHORS

Aissa Guesmia

ABSTRACT

In this paper, we consider a vibrating system of Timoshenko-type in a bounded one-dimensional domain with discrete time delay and complementary frictional damping and infinite memory controls all acting on the transversal displacement. We show that the system is well-posed in the sens of semigroup and that, under appropriate assumptions on the weights of the delay and the history data, the stability of the system holds in case of the equal-speed propagation as well as in the opposite case in spite of the presence of a discrete time delay, where the decay rate of solutions is given in terms of the smoothness of the initial data and the growth of the relaxation kernel at infinity. The results of this paper extend the ones obtained by the present author and Messaoudi in (Acta Math Sci 36:1–33, 2016) to the case of presence of discrete delay. More... »

PAGES

1253-1284

Journal

TITLE

Afrika Matematika

ISSUE

7-8

VOLUME

28

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s13370-017-0514-8

DOI

http://dx.doi.org/10.1007/s13370-017-0514-8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1090322070


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/1402", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Applied Economics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/14", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Economics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Institut \u00c9lie Cartan de Lorraine", 
          "id": "https://www.grid.ac/institutes/grid.462063.5", 
          "name": [
            "Institut Elie Cartan de Lorraine (IECL), UMR 7502, Universit\u00e9 de Lorraine, Bat. A, Ile du Saulcy, 57045, Metz Cedex 01, France"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Guesmia", 
        "givenName": "Aissa", 
        "id": "sg:person.07601422653.65", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07601422653.65"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/j.amc.2010.08.021", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009412695"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0022-0396(03)00185-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009450795"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0022-0396(03)00185-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009450795"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-0396(91)90062-e", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009781710"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.aml.2008.04.005", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013940215"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00245", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1016117209", 
          "https://doi.org/10.1007/s00245"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.na.2012.04.011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018340956"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.amc.2008.05.122", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018374617"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.sysconle.2010.07.007", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1020190610"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jmaa.2009.06.064", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021237815"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/00036811.2014.890708", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024286985"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00251609", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024392642", 
          "https://doi.org/10.1007/bf00251609"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00251609", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024392642", 
          "https://doi.org/10.1007/bf00251609"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jde.2012.07.012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024869800"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00033-008-8030-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025460918", 
          "https://doi.org/10.1007/s00033-008-8030-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/00036811.2013.823480", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025555095"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00028-002-8083-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026549559", 
          "https://doi.org/10.1007/s00028-002-8083-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0022-247x(02)00436-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026591245"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0022-247x(02)00436-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026591245"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/mma.2741", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028542608"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/mma.2797", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029521357"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.amc.2013.03.105", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029601702"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00030-008-7075-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029662363", 
          "https://doi.org/10.1007/s00030-008-7075-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/mma.1047", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030639692"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/mma.1569", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031302846"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10883-010-9090-z", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031701183", 
          "https://doi.org/10.1007/s10883-010-9090-z"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10883-010-9090-z", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031701183", 
          "https://doi.org/10.1007/s10883-010-9090-z"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jmaa.2007.07.012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032412537"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.amc.2009.08.034", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032981643"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00033-013-0387-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035547051", 
          "https://doi.org/10.1007/s00033-013-0387-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jmaa.2011.04.079", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035859327"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00205-009-0220-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038679833", 
          "https://doi.org/10.1007/s00205-009-0220-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00205-009-0220-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038679833", 
          "https://doi.org/10.1007/s00205-009-0220-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00205-009-0220-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038679833", 
          "https://doi.org/10.1007/s00205-009-0220-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.na.2008.02.069", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042396925"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jde.2013.04.026", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042594326"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-5561-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042930842", 
          "https://doi.org/10.1007/978-1-4612-5561-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-5561-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042930842", 
          "https://doi.org/10.1007/978-1-4612-5561-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/mma.1125", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043462608"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.4891489", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045094943"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/mma.1049", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045808251"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/14786442108636264", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045819600"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0252-9602(15)30075-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046449329"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.aml.2010.12.035", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049550453"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jmaa.2007.11.012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050230945"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.aml.2004.03.017", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1052551630"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00030-007-5033-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053741153", 
          "https://doi.org/10.1007/s00030-007-5033-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.4765046", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058062875"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.4793988", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058070381"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.4826102", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058085059"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0033-569x-2012-01280-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059337396"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1093/imamci/dnr043", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059687488"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1093/imamci/dns039", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059687529"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1093/imamci/dnt024", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059687558"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/0324007", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062843851"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/0325078", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062844002"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/060648891", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062848977"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/s0363012902408010", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062880606"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/cpaa.2011.10.667", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071731800"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/cpaa.2015.14.457", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071732358"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcds.2003.9.1625", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071732967"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcdss.2009.2.559", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071737643"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcdss.2011.4.693", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071737791"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcdss.2011.4.693", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071737791"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2017-12", 
    "datePublishedReg": "2017-12-01", 
    "description": "In this paper, we consider a vibrating system of Timoshenko-type in a bounded one-dimensional domain with discrete time delay and complementary frictional damping and infinite memory controls all acting on the transversal displacement. We show that the system is well-posed in the sens of semigroup and that, under appropriate assumptions on the weights of the delay and the history data, the stability of the system holds in case of the equal-speed propagation as well as in the opposite case in spite of the presence of a discrete time delay, where the decay rate of solutions is given in terms of the smoothness of the initial data and the growth of the relaxation kernel at infinity. The results of this paper extend the ones obtained by the present author and Messaoudi in (Acta Math Sci 36:1\u201333, 2016) to the case of presence of discrete delay.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s13370-017-0514-8", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136820", 
        "issn": [
          "1012-9405", 
          "2190-7668"
        ], 
        "name": "Afrika Matematika", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "7-8", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "28"
      }
    ], 
    "name": "Well-posedness and energy decay for Timoshenko systems with discrete time delay under frictional damping and/or infinite memory in the displacement", 
    "pagination": "1253-1284", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "e4b6ff58ccf482a5a3a8d38bcffeca8d9d9925c5c252c4ba2449e9ad7c76a789"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s13370-017-0514-8"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1090322070"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s13370-017-0514-8", 
      "https://app.dimensions.ai/details/publication/pub.1090322070"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T12:41", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000363_0000000363/records_70053_00000002.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://link.springer.com/10.1007%2Fs13370-017-0514-8"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s13370-017-0514-8'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s13370-017-0514-8'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s13370-017-0514-8'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s13370-017-0514-8'


 

This table displays all metadata directly associated to this object as RDF triples.

239 TRIPLES      21 PREDICATES      83 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s13370-017-0514-8 schema:about anzsrc-for:14
2 anzsrc-for:1402
3 schema:author N8ed1de0f7eb341a5bb6e3737fc3f1fe5
4 schema:citation sg:pub.10.1007/978-1-4612-5561-1
5 sg:pub.10.1007/bf00251609
6 sg:pub.10.1007/s00028-002-8083-0
7 sg:pub.10.1007/s00030-007-5033-0
8 sg:pub.10.1007/s00030-008-7075-3
9 sg:pub.10.1007/s00033-008-8030-1
10 sg:pub.10.1007/s00033-013-0387-0
11 sg:pub.10.1007/s00205-009-0220-2
12 sg:pub.10.1007/s00245
13 sg:pub.10.1007/s10883-010-9090-z
14 https://doi.org/10.1002/mma.1047
15 https://doi.org/10.1002/mma.1049
16 https://doi.org/10.1002/mma.1125
17 https://doi.org/10.1002/mma.1569
18 https://doi.org/10.1002/mma.2741
19 https://doi.org/10.1002/mma.2797
20 https://doi.org/10.1016/0022-0396(91)90062-e
21 https://doi.org/10.1016/j.amc.2008.05.122
22 https://doi.org/10.1016/j.amc.2009.08.034
23 https://doi.org/10.1016/j.amc.2010.08.021
24 https://doi.org/10.1016/j.amc.2013.03.105
25 https://doi.org/10.1016/j.aml.2004.03.017
26 https://doi.org/10.1016/j.aml.2008.04.005
27 https://doi.org/10.1016/j.aml.2010.12.035
28 https://doi.org/10.1016/j.jde.2012.07.012
29 https://doi.org/10.1016/j.jde.2013.04.026
30 https://doi.org/10.1016/j.jmaa.2007.07.012
31 https://doi.org/10.1016/j.jmaa.2007.11.012
32 https://doi.org/10.1016/j.jmaa.2009.06.064
33 https://doi.org/10.1016/j.jmaa.2011.04.079
34 https://doi.org/10.1016/j.na.2008.02.069
35 https://doi.org/10.1016/j.na.2012.04.011
36 https://doi.org/10.1016/j.sysconle.2010.07.007
37 https://doi.org/10.1016/s0022-0396(03)00185-2
38 https://doi.org/10.1016/s0022-247x(02)00436-5
39 https://doi.org/10.1016/s0252-9602(15)30075-8
40 https://doi.org/10.1063/1.4765046
41 https://doi.org/10.1063/1.4793988
42 https://doi.org/10.1063/1.4826102
43 https://doi.org/10.1063/1.4891489
44 https://doi.org/10.1080/00036811.2013.823480
45 https://doi.org/10.1080/00036811.2014.890708
46 https://doi.org/10.1080/14786442108636264
47 https://doi.org/10.1090/s0033-569x-2012-01280-8
48 https://doi.org/10.1093/imamci/dnr043
49 https://doi.org/10.1093/imamci/dns039
50 https://doi.org/10.1093/imamci/dnt024
51 https://doi.org/10.1137/0324007
52 https://doi.org/10.1137/0325078
53 https://doi.org/10.1137/060648891
54 https://doi.org/10.1137/s0363012902408010
55 https://doi.org/10.3934/cpaa.2011.10.667
56 https://doi.org/10.3934/cpaa.2015.14.457
57 https://doi.org/10.3934/dcds.2003.9.1625
58 https://doi.org/10.3934/dcdss.2009.2.559
59 https://doi.org/10.3934/dcdss.2011.4.693
60 schema:datePublished 2017-12
61 schema:datePublishedReg 2017-12-01
62 schema:description In this paper, we consider a vibrating system of Timoshenko-type in a bounded one-dimensional domain with discrete time delay and complementary frictional damping and infinite memory controls all acting on the transversal displacement. We show that the system is well-posed in the sens of semigroup and that, under appropriate assumptions on the weights of the delay and the history data, the stability of the system holds in case of the equal-speed propagation as well as in the opposite case in spite of the presence of a discrete time delay, where the decay rate of solutions is given in terms of the smoothness of the initial data and the growth of the relaxation kernel at infinity. The results of this paper extend the ones obtained by the present author and Messaoudi in (Acta Math Sci 36:1–33, 2016) to the case of presence of discrete delay.
63 schema:genre research_article
64 schema:inLanguage en
65 schema:isAccessibleForFree false
66 schema:isPartOf N0805cb18298448ab871a0b7c931fa451
67 Naada27272af94a6aa6a8095dfe6bcd36
68 sg:journal.1136820
69 schema:name Well-posedness and energy decay for Timoshenko systems with discrete time delay under frictional damping and/or infinite memory in the displacement
70 schema:pagination 1253-1284
71 schema:productId N112448df695d48c5a9a0e28f704a6232
72 N24a392c311f84dccae0d59a1b7df1ae8
73 N641e30abb5a64652bdb0875e8e383866
74 schema:sameAs https://app.dimensions.ai/details/publication/pub.1090322070
75 https://doi.org/10.1007/s13370-017-0514-8
76 schema:sdDatePublished 2019-04-11T12:41
77 schema:sdLicense https://scigraph.springernature.com/explorer/license/
78 schema:sdPublisher N376cdd6d3490482cb89e854585a5df1b
79 schema:url https://link.springer.com/10.1007%2Fs13370-017-0514-8
80 sgo:license sg:explorer/license/
81 sgo:sdDataset articles
82 rdf:type schema:ScholarlyArticle
83 N0805cb18298448ab871a0b7c931fa451 schema:volumeNumber 28
84 rdf:type schema:PublicationVolume
85 N112448df695d48c5a9a0e28f704a6232 schema:name readcube_id
86 schema:value e4b6ff58ccf482a5a3a8d38bcffeca8d9d9925c5c252c4ba2449e9ad7c76a789
87 rdf:type schema:PropertyValue
88 N24a392c311f84dccae0d59a1b7df1ae8 schema:name dimensions_id
89 schema:value pub.1090322070
90 rdf:type schema:PropertyValue
91 N376cdd6d3490482cb89e854585a5df1b schema:name Springer Nature - SN SciGraph project
92 rdf:type schema:Organization
93 N641e30abb5a64652bdb0875e8e383866 schema:name doi
94 schema:value 10.1007/s13370-017-0514-8
95 rdf:type schema:PropertyValue
96 N8ed1de0f7eb341a5bb6e3737fc3f1fe5 rdf:first sg:person.07601422653.65
97 rdf:rest rdf:nil
98 Naada27272af94a6aa6a8095dfe6bcd36 schema:issueNumber 7-8
99 rdf:type schema:PublicationIssue
100 anzsrc-for:14 schema:inDefinedTermSet anzsrc-for:
101 schema:name Economics
102 rdf:type schema:DefinedTerm
103 anzsrc-for:1402 schema:inDefinedTermSet anzsrc-for:
104 schema:name Applied Economics
105 rdf:type schema:DefinedTerm
106 sg:journal.1136820 schema:issn 1012-9405
107 2190-7668
108 schema:name Afrika Matematika
109 rdf:type schema:Periodical
110 sg:person.07601422653.65 schema:affiliation https://www.grid.ac/institutes/grid.462063.5
111 schema:familyName Guesmia
112 schema:givenName Aissa
113 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07601422653.65
114 rdf:type schema:Person
115 sg:pub.10.1007/978-1-4612-5561-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042930842
116 https://doi.org/10.1007/978-1-4612-5561-1
117 rdf:type schema:CreativeWork
118 sg:pub.10.1007/bf00251609 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024392642
119 https://doi.org/10.1007/bf00251609
120 rdf:type schema:CreativeWork
121 sg:pub.10.1007/s00028-002-8083-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026549559
122 https://doi.org/10.1007/s00028-002-8083-0
123 rdf:type schema:CreativeWork
124 sg:pub.10.1007/s00030-007-5033-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053741153
125 https://doi.org/10.1007/s00030-007-5033-0
126 rdf:type schema:CreativeWork
127 sg:pub.10.1007/s00030-008-7075-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029662363
128 https://doi.org/10.1007/s00030-008-7075-3
129 rdf:type schema:CreativeWork
130 sg:pub.10.1007/s00033-008-8030-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025460918
131 https://doi.org/10.1007/s00033-008-8030-1
132 rdf:type schema:CreativeWork
133 sg:pub.10.1007/s00033-013-0387-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035547051
134 https://doi.org/10.1007/s00033-013-0387-0
135 rdf:type schema:CreativeWork
136 sg:pub.10.1007/s00205-009-0220-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038679833
137 https://doi.org/10.1007/s00205-009-0220-2
138 rdf:type schema:CreativeWork
139 sg:pub.10.1007/s00245 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016117209
140 https://doi.org/10.1007/s00245
141 rdf:type schema:CreativeWork
142 sg:pub.10.1007/s10883-010-9090-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1031701183
143 https://doi.org/10.1007/s10883-010-9090-z
144 rdf:type schema:CreativeWork
145 https://doi.org/10.1002/mma.1047 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030639692
146 rdf:type schema:CreativeWork
147 https://doi.org/10.1002/mma.1049 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045808251
148 rdf:type schema:CreativeWork
149 https://doi.org/10.1002/mma.1125 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043462608
150 rdf:type schema:CreativeWork
151 https://doi.org/10.1002/mma.1569 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031302846
152 rdf:type schema:CreativeWork
153 https://doi.org/10.1002/mma.2741 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028542608
154 rdf:type schema:CreativeWork
155 https://doi.org/10.1002/mma.2797 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029521357
156 rdf:type schema:CreativeWork
157 https://doi.org/10.1016/0022-0396(91)90062-e schema:sameAs https://app.dimensions.ai/details/publication/pub.1009781710
158 rdf:type schema:CreativeWork
159 https://doi.org/10.1016/j.amc.2008.05.122 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018374617
160 rdf:type schema:CreativeWork
161 https://doi.org/10.1016/j.amc.2009.08.034 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032981643
162 rdf:type schema:CreativeWork
163 https://doi.org/10.1016/j.amc.2010.08.021 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009412695
164 rdf:type schema:CreativeWork
165 https://doi.org/10.1016/j.amc.2013.03.105 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029601702
166 rdf:type schema:CreativeWork
167 https://doi.org/10.1016/j.aml.2004.03.017 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052551630
168 rdf:type schema:CreativeWork
169 https://doi.org/10.1016/j.aml.2008.04.005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013940215
170 rdf:type schema:CreativeWork
171 https://doi.org/10.1016/j.aml.2010.12.035 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049550453
172 rdf:type schema:CreativeWork
173 https://doi.org/10.1016/j.jde.2012.07.012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024869800
174 rdf:type schema:CreativeWork
175 https://doi.org/10.1016/j.jde.2013.04.026 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042594326
176 rdf:type schema:CreativeWork
177 https://doi.org/10.1016/j.jmaa.2007.07.012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032412537
178 rdf:type schema:CreativeWork
179 https://doi.org/10.1016/j.jmaa.2007.11.012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050230945
180 rdf:type schema:CreativeWork
181 https://doi.org/10.1016/j.jmaa.2009.06.064 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021237815
182 rdf:type schema:CreativeWork
183 https://doi.org/10.1016/j.jmaa.2011.04.079 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035859327
184 rdf:type schema:CreativeWork
185 https://doi.org/10.1016/j.na.2008.02.069 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042396925
186 rdf:type schema:CreativeWork
187 https://doi.org/10.1016/j.na.2012.04.011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018340956
188 rdf:type schema:CreativeWork
189 https://doi.org/10.1016/j.sysconle.2010.07.007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020190610
190 rdf:type schema:CreativeWork
191 https://doi.org/10.1016/s0022-0396(03)00185-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009450795
192 rdf:type schema:CreativeWork
193 https://doi.org/10.1016/s0022-247x(02)00436-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026591245
194 rdf:type schema:CreativeWork
195 https://doi.org/10.1016/s0252-9602(15)30075-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046449329
196 rdf:type schema:CreativeWork
197 https://doi.org/10.1063/1.4765046 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058062875
198 rdf:type schema:CreativeWork
199 https://doi.org/10.1063/1.4793988 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058070381
200 rdf:type schema:CreativeWork
201 https://doi.org/10.1063/1.4826102 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058085059
202 rdf:type schema:CreativeWork
203 https://doi.org/10.1063/1.4891489 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045094943
204 rdf:type schema:CreativeWork
205 https://doi.org/10.1080/00036811.2013.823480 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025555095
206 rdf:type schema:CreativeWork
207 https://doi.org/10.1080/00036811.2014.890708 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024286985
208 rdf:type schema:CreativeWork
209 https://doi.org/10.1080/14786442108636264 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045819600
210 rdf:type schema:CreativeWork
211 https://doi.org/10.1090/s0033-569x-2012-01280-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059337396
212 rdf:type schema:CreativeWork
213 https://doi.org/10.1093/imamci/dnr043 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059687488
214 rdf:type schema:CreativeWork
215 https://doi.org/10.1093/imamci/dns039 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059687529
216 rdf:type schema:CreativeWork
217 https://doi.org/10.1093/imamci/dnt024 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059687558
218 rdf:type schema:CreativeWork
219 https://doi.org/10.1137/0324007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062843851
220 rdf:type schema:CreativeWork
221 https://doi.org/10.1137/0325078 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062844002
222 rdf:type schema:CreativeWork
223 https://doi.org/10.1137/060648891 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062848977
224 rdf:type schema:CreativeWork
225 https://doi.org/10.1137/s0363012902408010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062880606
226 rdf:type schema:CreativeWork
227 https://doi.org/10.3934/cpaa.2011.10.667 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071731800
228 rdf:type schema:CreativeWork
229 https://doi.org/10.3934/cpaa.2015.14.457 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071732358
230 rdf:type schema:CreativeWork
231 https://doi.org/10.3934/dcds.2003.9.1625 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071732967
232 rdf:type schema:CreativeWork
233 https://doi.org/10.3934/dcdss.2009.2.559 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071737643
234 rdf:type schema:CreativeWork
235 https://doi.org/10.3934/dcdss.2011.4.693 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071737791
236 rdf:type schema:CreativeWork
237 https://www.grid.ac/institutes/grid.462063.5 schema:alternateName Institut Élie Cartan de Lorraine
238 schema:name Institut Elie Cartan de Lorraine (IECL), UMR 7502, Université de Lorraine, Bat. A, Ile du Saulcy, 57045, Metz Cedex 01, France
239 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...