三点边值问题的正解

Positive Solutions of Three-Point Boundary Value Problems

Foundation Teaching Department, Chein-Shung Institute of Technology, Taicang, Jiangsu 215400, P. R. China;

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．
- 三点边值问题 /
- 正解 /
- 不动点定理 /
- 重合度定理
Abstract: The existence of single or multiple positive solutions of three-point boundary value problems involving one dimensional p-Laplacian was considered. Then the existence of solution when the problems is in resonance case was studied. The approach is based on the Krasnoselskii's fixed point theorem and the coincidence degree theory.
- three-point boundary value problems /
- positive solution /
- fixed point theorem /
- coincidence degree theory

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