摘要
利用Krasnosel′skii不动点定理及延拓正(负)解的方法,证明了一类非线性三阶三点边值问题,当其非线性项满足某些假设条件时,具有无穷多个反对称变号解.
In this paper, the existence of multiple anti-symmetric sign-changing solutions for a nonlinear third-order three-point boundary value problem is investigated by using Krasnosel＇skii fixed point theorem and the method of extending positive or negative solution.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第23期149-153,共5页
Mathematics in Practice and Theory
基金
山西省自然科学基金项目(20051005)
关键词
反对称变号解
不动点定理
延拓法
anti-symmetric sign-changing solutions, fixed point theorem
the method ofextending
