一类半正非线性多点边值问题多个正解的存在性

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Exsitence of Multiple Positive Solutions for a Semipositone Nonlinear Multi-point Boundary Value Problems

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Abstract:

Under some suitable local conditions and superlinear or sublinear conditions, we establish the multiplicity of positive solutions for a class of singular semipositone multi-point boundary value problem. Our results extend and improve some existing results of previous literatures for two-point and multi-point boundary value problems in the positone and in the semipositone cases.

Key words: Singular boundary value problems, Semipositone, Positive solutions, Fixed point, Cone

CLC Number:

34B15

ZHANG Xin-Guang, PAN Chuan-Zhong. Exsitence of Multiple Positive Solutions for a Semipositone Nonlinear Multi-point Boundary Value Problems[J].Acta mathematica scientia,Series A, 2012, 32(5): 996-1010.

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