一类两点边值问题的多重非负解

Abstract

Abstract:

This paper deals with the existence of nonnegative solutions to two point boundary value problem [1/q(t)][q(t)y′(t)]′+p(t)f(y(t))= 0,λ_1 y(α)-λ_2 y′(α)=0 and y(β)=B,where p(t) may be singular at t=α or t=β, f(0)≥0,lim_(y→+∞)f(y)/y=+∞, and there exists y>0 such that f(y)<0.

Key words: Boundary value problem;Nonnegative solution, Existence

CLC Number:

34B15

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CHENG Jian-Gang. Multiple Nonnegative Solutions for a Class of Two point Bound ary Value Problems[J].Acta mathematica scientia,Series A, 2005, 25(4): 482-488.

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Multiple Nonnegative Solutions for a Class of Two point Bound ary Value Problems

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