On the Solvability of Third-Order Three Point Systems of Differential Equations with Dependence on the First Derivative View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-09

AUTHORS

Feliz Minhós, Robert de Sousa

ABSTRACT

This paper presents sufficient conditions for the solvability of the third order three point boundary value problem -u″′(t)=f(t,v(t),v′(t))-v″′(t)=h(t,u(t),u′(t))u(0)=u′(0)=0,u′(1)=αu′(η)v(0)=v′(0)=0,v′(1)=αv′(η).The arguments apply Green’s function associated to the linear problem and the Guo–Krasnosel’skiĭ theorem of compression-expansion cones. The dependence on the first derivatives is overcome by the construction of an adequate cone and suitable conditions of superlinearity/sublinearity near 0 and +∞. Last section contains an example to illustrate the applicability of the theorem. More... »

PAGES

485-503

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00574-016-0025-5

DOI

http://dx.doi.org/10.1007/s00574-016-0025-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1004266531


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