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Please use this identifier to cite or link to this item: http://repository.li.mahidol.ac.th/dspace/handle/123456789/12123
Title: Multiple solutions for systems of differential equations with nonlinear boundary conditions
Authors: Jutarat Kongson
Bevan Thompson
Yongwimon Lenbury
Mahidol University
University of Queensland
PERDO
Keywords: Mathematics
Issue Date: 1-Dec-2011
Citation: Nonlinear Studies. Vol.18, No.1 (2011), 27-50
Abstract: 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.
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84872800286&origin=inward
http://repository.li.mahidol.ac.th/dspace/handle/123456789/12123
ISSN: 21534373
13598678
Appears in Collections:Scopus 2011-2015

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