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半正三阶三点边值问题正解的存在性
引用本文:张晓萍.半正三阶三点边值问题正解的存在性[J].数学的实践与认识,2010,40(21).
作者姓名:张晓萍
基金项目:浙江省自然科学基金,浙江省教育厅科研立项项目
摘    要:研究了一类非线性三阶三点边值问题解的存在性,在非线性项半正的情况下借助于Krasnoselskii锥拉伸与锥压缩不动点定理证明了正解的存在性.

关 键 词:半正  三阶三点边值问题  正解    不动点定理

Positive Solutions for Semipositone Third-Order Three-Point Boundary Value Problem
ZHANG Xiao-ping.Positive Solutions for Semipositone Third-Order Three-Point Boundary Value Problem[J].Mathematics in Practice and Theory,2010,40(21).
Authors:ZHANG Xiao-ping
Abstract:In this paper,the existence of positive solutions for nonlinear semipositone third-order three-point boundary value problems is investigated by using Krasnosel'skii fixed point theorem of cone expansion-compression type.
Keywords:semipositone  third-order three-point BVPs  positive solutions  cone  fixed point theorem
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