Difference Equations View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2016

AUTHORS

Wolfgang Eichhorn , Winfried Gleißner

ABSTRACT

For many problems in economics it is more adequate to give them a discrete formulation than a continuous one. This leads to difference equations instead of differential equations. Their theories are quite similar. We discuss linear difference equations of first and second order and present some models: the growth model of Harrod, settlement of bond issues, distribution of wealth, and the multi-sector multiplier model. The chapter continues with systems of linear difference equations and finishes with nonlinear difference equations, which necessarily in most cases leads to a phenomenon, which is called chaos in mathematics. More... »

PAGES

565-596

Book

TITLE

Mathematics and Methodology for Economics

ISBN

978-3-319-23352-9
978-3-319-23353-6

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-23353-6_12

DOI

http://dx.doi.org/10.1007/978-3-319-23353-6_12

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1044144261


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/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Karlsruhe Institute of Technology", 
          "id": "https://www.grid.ac/institutes/grid.7892.4", 
          "name": [
            "Karlsruhe Institute of Technology (KIT)"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Eichhorn", 
        "givenName": "Wolfgang", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Applied Sciences Landshut", 
          "id": "https://www.grid.ac/institutes/grid.449759.2", 
          "name": [
            "University of Applied Sciences Landshut"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Glei\u00dfner", 
        "givenName": "Winfried", 
        "type": "Person"
      }
    ], 
    "datePublished": "2016", 
    "datePublishedReg": "2016-01-01", 
    "description": "For many problems in economics it is more adequate to give them a discrete formulation than a continuous one. This leads to difference equations instead of differential equations. Their theories are quite similar. We discuss linear difference equations of first and second order and present some models: the growth model of Harrod, settlement of bond issues, distribution of wealth, and the multi-sector multiplier model. The chapter continues with systems of linear difference equations and finishes with nonlinear difference equations, which necessarily in most cases leads to a phenomenon, which is called chaos in mathematics.", 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-319-23353-6_12", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-319-23352-9", 
        "978-3-319-23353-6"
      ], 
      "name": "Mathematics and Methodology for Economics", 
      "type": "Book"
    }, 
    "name": "Difference Equations", 
    "pagination": "565-596", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-319-23353-6_12"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "d24609ddc8b70a8b3dd02ecea10038af9ba6b77bce2dfdd159c58e369e214908"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1044144261"
        ]
      }
    ], 
    "publisher": {
      "location": "Cham", 
      "name": "Springer International Publishing", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-319-23353-6_12", 
      "https://app.dimensions.ai/details/publication/pub.1044144261"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-15T10:22", 
    "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/v90/0000000001_0000000264/records_8659_00000076.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/978-3-319-23353-6_12"
  }
]
 

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.10.1007/978-3-319-23353-6_12'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-23353-6_12'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-23353-6_12'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-23353-6_12'


 

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

67 TRIPLES      21 PREDICATES      26 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-319-23353-6_12 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N6b18d62f17f44b069f64020bd5c6560f
4 schema:datePublished 2016
5 schema:datePublishedReg 2016-01-01
6 schema:description For many problems in economics it is more adequate to give them a discrete formulation than a continuous one. This leads to difference equations instead of differential equations. Their theories are quite similar. We discuss linear difference equations of first and second order and present some models: the growth model of Harrod, settlement of bond issues, distribution of wealth, and the multi-sector multiplier model. The chapter continues with systems of linear difference equations and finishes with nonlinear difference equations, which necessarily in most cases leads to a phenomenon, which is called chaos in mathematics.
7 schema:genre chapter
8 schema:inLanguage en
9 schema:isAccessibleForFree false
10 schema:isPartOf Ndfd1f2ef34cf443c898fa6fdbe25e727
11 schema:name Difference Equations
12 schema:pagination 565-596
13 schema:productId N16d516c9298947169b1cc7e415e88592
14 N8baa26a4eccf4ef4adda6f5d8fcef9f4
15 Nabfd3b728d8343b58e0397b920508fe5
16 schema:publisher N1abcbabf6267405e880640d73e06da07
17 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044144261
18 https://doi.org/10.1007/978-3-319-23353-6_12
19 schema:sdDatePublished 2019-04-15T10:22
20 schema:sdLicense https://scigraph.springernature.com/explorer/license/
21 schema:sdPublisher N18e63db712704932afe7ae925e8fbacd
22 schema:url http://link.springer.com/10.1007/978-3-319-23353-6_12
23 sgo:license sg:explorer/license/
24 sgo:sdDataset chapters
25 rdf:type schema:Chapter
26 N0b636687512743cbb97f012ccd1a1a77 schema:affiliation https://www.grid.ac/institutes/grid.449759.2
27 schema:familyName Gleißner
28 schema:givenName Winfried
29 rdf:type schema:Person
30 N16d516c9298947169b1cc7e415e88592 schema:name dimensions_id
31 schema:value pub.1044144261
32 rdf:type schema:PropertyValue
33 N18e63db712704932afe7ae925e8fbacd schema:name Springer Nature - SN SciGraph project
34 rdf:type schema:Organization
35 N1abcbabf6267405e880640d73e06da07 schema:location Cham
36 schema:name Springer International Publishing
37 rdf:type schema:Organisation
38 N6b18d62f17f44b069f64020bd5c6560f rdf:first Ncfa8a3b7982c4613ad0ccecd7aff63e7
39 rdf:rest N77793207852448278256e218bd42e7b8
40 N77793207852448278256e218bd42e7b8 rdf:first N0b636687512743cbb97f012ccd1a1a77
41 rdf:rest rdf:nil
42 N8baa26a4eccf4ef4adda6f5d8fcef9f4 schema:name readcube_id
43 schema:value d24609ddc8b70a8b3dd02ecea10038af9ba6b77bce2dfdd159c58e369e214908
44 rdf:type schema:PropertyValue
45 Nabfd3b728d8343b58e0397b920508fe5 schema:name doi
46 schema:value 10.1007/978-3-319-23353-6_12
47 rdf:type schema:PropertyValue
48 Ncfa8a3b7982c4613ad0ccecd7aff63e7 schema:affiliation https://www.grid.ac/institutes/grid.7892.4
49 schema:familyName Eichhorn
50 schema:givenName Wolfgang
51 rdf:type schema:Person
52 Ndfd1f2ef34cf443c898fa6fdbe25e727 schema:isbn 978-3-319-23352-9
53 978-3-319-23353-6
54 schema:name Mathematics and Methodology for Economics
55 rdf:type schema:Book
56 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
57 schema:name Mathematical Sciences
58 rdf:type schema:DefinedTerm
59 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
60 schema:name Pure Mathematics
61 rdf:type schema:DefinedTerm
62 https://www.grid.ac/institutes/grid.449759.2 schema:alternateName University of Applied Sciences Landshut
63 schema:name University of Applied Sciences Landshut
64 rdf:type schema:Organization
65 https://www.grid.ac/institutes/grid.7892.4 schema:alternateName Karlsruhe Institute of Technology
66 schema:name Karlsruhe Institute of Technology (KIT)
67 rdf:type schema:Organization
 




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


...