一类二阶Neumann边值共振问题解的存在性

Existence of solutions for a second order Neumann boundary value problem at resonance

运用Mawhin延拓定理,获得了二阶Neumann边值共振问题解的存在性结果.其中f:[0,1]×R R→满足对L2(0,1)的Carathodory条件.

The existence of solutions is obtained for the second order Neumann boundary value problem at resonance {u″（x）＋f（x,u（x））=0,xε（0,1）,u′（0）=u′（1）=0 by using Mawhin continuation theorem, where f：[0,1]×R→R satisfies Carathfodory condition with respect to L^2 （0,1）.