Multiple solutions for systems of differential equations with nonlinear boundary conditions

Multiple solutions for systems of differential equations with nonlinear boundary conditions

We establish the existence of three solutions in admissible bounding sets for systems of nonlinear differential equations of the form y'' = f (x;y;y'), x Ie ∈ [0;1] satisfying the fully nonlinear boundary conditions g((y(0);y(1)); (y'(0);y'(1))) = 0: We assume that f and g a...

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Main Authors: Jutarat Kongson, Bevan Thompson, Yongwimon Lenbury
Other Authors: Mahidol University
Format: Article
Published: 2018
Subjects:
Mathematics
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/12123
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spelling th-mahidol.121232018-05-03T15:19:40Z Multiple solutions for systems of differential equations with nonlinear boundary conditions Jutarat Kongson Bevan Thompson Yongwimon Lenbury Mahidol University University of Queensland PERDO Mathematics We establish the existence of three solutions in admissible bounding sets for systems of nonlinear differential equations of the form y'' = f (x;y;y'), x Ie ∈ [0;1] satisfying the fully nonlinear boundary conditions g((y(0);y(1)); (y'(0);y'(1))) = 0: We assume that f and g are continuous, that g is compatible with the admissible bounding sets, and that f satisfies a Nagumo-type condition that guarantees a priori bounds on the derivatives of solutions. We use Leray-Schauder degree theory in novel spaces. © CSP - Cambridge, UK; I & S - Florida, USA, 2011. 2018-05-03T08:19:40Z 2018-05-03T08:19:40Z 2011-12-01 Article Nonlinear Studies. Vol.18, No.1 (2011), 27-50 21534373 13598678 2-s2.0-84872800286 https://repository.li.mahidol.ac.th/handle/123456789/12123 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84872800286&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
Jutarat Kongson
Bevan Thompson
Yongwimon Lenbury
Multiple solutions for systems of differential equations with nonlinear boundary conditions
description We establish the existence of three solutions in admissible bounding sets for systems of nonlinear differential equations of the form y'' = f (x;y;y'), x Ie ∈ [0;1] satisfying the fully nonlinear boundary conditions g((y(0);y(1)); (y'(0);y'(1))) = 0: We assume that f and g are continuous, that g is compatible with the admissible bounding sets, and that f satisfies a Nagumo-type condition that guarantees a priori bounds on the derivatives of solutions. We use Leray-Schauder degree theory in novel spaces. © CSP - Cambridge, UK; I & S - Florida, USA, 2011.
author2 Mahidol University
author_facet Mahidol University
Jutarat Kongson
Bevan Thompson
Yongwimon Lenbury
format Article
author Jutarat Kongson
Bevan Thompson
Yongwimon Lenbury
author_sort Jutarat Kongson
title Multiple solutions for systems of differential equations with nonlinear boundary conditions
title_short Multiple solutions for systems of differential equations with nonlinear boundary conditions
title_full Multiple solutions for systems of differential equations with nonlinear boundary conditions
title_fullStr Multiple solutions for systems of differential equations with nonlinear boundary conditions
title_full_unstemmed Multiple solutions for systems of differential equations with nonlinear boundary conditions
title_sort multiple solutions for systems of differential equations with nonlinear boundary conditions
publishDate 2018
url https://repository.li.mahidol.ac.th/handle/123456789/12123
_version_ 1763488933682872320

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