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Existence result for a class of nonlinear third-order two-point boundary-value problems

Part of: Boundary value problems

Published online by Cambridge University Press:  23 September 2009

Libo Wang ,
Minghe Pei  and
Weigao Ge
Libo Wang
Affiliation:
Department of Mathematics, Beihua University, Ji'lin 132013, People's Republic of China; Email: (wlb_math@yahoo.cn)
Minghe Pei
Affiliation:
Department of Mathematics, Beihua University, Ji'lin 132013, People's Republic of China; Email: (wlb_math@yahoo.cn)
Weigao Ge
Affiliation:
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, People's Republic of China
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Abstract

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The upper and lower solutions method and Leray–Schauder degree theory are employed to establish the existence result for a class of nonlinear third-order two-point boundary-value problems with a sign-type Nagumo condition.

Keywords

sign-type Nagumo conditionupper and lower solutions methodLeray–Schauder degree theory

MSC classification

Secondary: 34B15: Nonlinear boundary value problems
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 52 , Issue 3 , October 2009 , pp. 787 - 796
Copyright
Copyright © Edinburgh Mathematical Society 2009