The Existence and Multiplicity of Positive Solutions for a Third-order Three-point Boundary Value Problem

Abstract The existence of n positive solutions for a class of third-order three-point boundary value problems is investigated, where n is an arbitrary natural number. The main tool is Krasnosel'skii fixed point theorem on the cone.

关于一类二阶两点边值问题的正解存在性

利用锥拉伸与锥压缩型的Krasnoselskii不动点定理研究了一类非线性二阶两点边值问题的正解存在性。这些结论是在比已有文献更弱的条件下获得证明的。其中 ,允许非线性项是奇异的 ,并且允许非线性项既不是超线性的 ,又不是次线性的。