非线性二阶Robin问题多正解的存在性

Multiplicity of solutions for nonlinear second-order Robin problems

本文利用不动点指数理论证明了如下非线性二阶Robin问题{u″(t)-k^2u(t)+λf(u(t))=0,t∈(0,1),k≠0,u'(0)=0,u(1)=0多个正解的存在性,其中f:[0,∞)→[0,∞)为连续函数且有多个零点,λ>0为参数.

In this paper, we use the fixed point index theory to show the existence of multiple positive so- lutions for the following second order Robin problems：{u″（t）-k2u（t）＋λf（u（t））=0,t∈（0,1）,k≠0, u′（0）=0,u（1）=0 wher f：[0,∞）→[0,∞） is continuous and has multiple zeros, ,λ 〉 0 is a parameter.