摘要
利用Krasnoselskii’s不动点定理和重合度定理,研究了p-Laplace三点边值问题单解或多解的存在性,以及在共振情况下解的存在性.
The existence of single or multiple positive solutions of three-point boundary value problems involving one dimensionl p-Laplacian was considered. Then the existence of solution when the problems is in resonance case was studied. The approach is based on the Krasnoselsldi' s fixed point theorem and the coincidence degree theory.
出处
《应用数学和力学》
CSCD
北大核心
2008年第6期741-748,共8页
Applied Mathematics and Mechanics
关键词
三点边值问题
正解
不动点定理
重合度定理
three-point boundary value problems
positive solution
fixed point theorem
coincidence degree theory