Existence andMultiplicity of Solutions and Positive Solutions for Sem ipositive Neumann Boundary Value Problem s

YAO Qing-liu; LIYong-xiang

Volume 18 Issue 4

Aug. 2005

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Journal of Southwest Jiaotong University > 2005 > 18(4): 539-543.

YAO Qing-liu, LIYong-xiang. Existence andMultiplicity of Solutions and Positive Solutions for Sem ipositive Neumann Boundary Value Problem s[J]. Journal of Southwest Jiaotong University, 2005, 18(4): 539-543.

Citation:

YAO Qing-liu, LIYong-xiang. Existence andMultiplicity of Solutions and Positive Solutions for Sem ipositive Neumann Boundary Value Problem s[J]. Journal of Southwest Jiaotong University, 2005, 18(4): 539-543.

Citation:

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Existence andMultiplicity of Solutions and Positive Solutions for Sem ipositive Neumann Boundary Value Problem s

Publish Date: 25 Aug 2005

Abstract

Abstract

By using cone expansion-compression fixed point theorem, the solutions and positive solutionswere studied for the nonlinearNeumann boundary value problem, where the nonlinear term was allowed to have a nonpositive lowerbound. It is shown that the problem hasnsolutions orpositive solutions provided themaximum andminimum heights of the nonlinear terms are appropriate on some bounded sets, wherenis a naturalnumber
- existence,
- multiplicity of solutions,
- second order differential equation,
- Neumann boundary value problem,
- positive solution