非线性二阶微分系统正解的存在性

Abstract

Abstract:

The paper is concerned with the following problem[JB({]x″(t)+λ f(t,x(t),y(t))=0,\=y″(t)+μ g(t,x(t),y(t))=0,\ 00,\=x(0)=x(1)=y(0)=y(1)=0.
[JB)]and establishes the existence results of positive solutions for the problem under semipositone conditions by using a fixed point theorem in a cone.

Key words: Positive solutions, Nonlinear secondorder , differential systems, Cone; Fixed point

CLC Number:

34B15

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BAI Ding-Yong. Existence of Positive Solutions of Nonlinear \=SecondOrder Differential Systems[J].Acta mathematica scientia,Series A, 2003, 23(1): 38-44.

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Existence of Positive Solutions of Nonlinear \=SecondOrder Differential Systems

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