POSITIVE SOLUTIONS FOR SYSTEMS OF SECOND ORDER FOUR-POINT NONLINEAR BOUNDARY VALUE PROBLEMS

TitlePOSITIVE SOLUTIONS FOR SYSTEMS OF SECOND ORDER FOUR-POINT NONLINEAR BOUNDARY VALUE PROBLEMS
Publication TypeJournal Article
Year of Publication2008
AuthorsHENDERSON, J, NTOUYAS, SK, PURNARAS, IK
Volume12
Issue1
Start Page29
Pagination12
Date Published2008
ISSN1083-2564
AMS34A34, 34B18
Abstract

Intervals of the parameters λ and µ are determined for which there exist positive solutions of the system of four-point nonlinear boundary value problems, ${ \ u''(t)+\lambda a(t)f(v)=0, v''(t)+\mu b(t)g(u)=0 }$, for 0 < t < 1, and satisfying, ${ \ u(0) = \alpha u(\xi),  u(1) = \beta u(\eta), v(0) = \alpha v(\xi), v(1) = \beta v(\eta) }$. A Guo-Krasnosel’skii fixed point theorem is applied
URLhttp://www.acadsol.eu/en/articles/12/1/4.pdf
Refereed DesignationRefereed
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