Publication:
Multiple solutions for systems of differential equations with nonlinear boundary conditions

Issued Date

2011-12-01

Resource Type

Article

ISSN

21534373
13598678

Other identifier(s)

2-s2.0-84872800286

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Nonlinear Studies. Vol.18, No.1 (2011), 27-50

Suggested Citation

Jutarat Kongson, Bevan Thompson, Yongwimon Lenbury Multiple solutions for systems of differential equations with nonlinear boundary conditions. Nonlinear Studies. Vol.18, No.1 (2011), 27-50. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/12123

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Title

Multiple solutions for systems of differential equations with nonlinear boundary conditions

Author(s)

Jutarat Kongson
 Bevan Thompson
 Yongwimon Lenbury

Other Contributor(s)

Mahidol University
 University of Queensland
 PERDO

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.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/12123

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Scopus 2011-2015