有序Banach空间非线性Robin边值问题正解的存在性  

Existence of Positive Solutions for Nonlinear Robin Boundary Value Problems in Banach Spaces

作　　者：李小龙[1] 

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000

出　　处：《应用数学》2012年第4期863-867,共5页Mathematica Applicata

基　　金：陇东学院青年科技创新项目(XYZK1109)

摘　　要：讨论有序Banach空间E中的非线性Robin边值问题正解的存在性,通过非紧性测度的估计技巧与凝聚映射的不动点指数理论获得该问题正解的存在性结果.The existence of positive solutions for nonlinear Robin boundary value problem in an ordered Banach spaces was discussed. An existence result of positive solutions was ob- tained by employing a new estimate of noncompactness measure and the fixed point index theory of condensing mapping.

关 键 词：ROBIN边值问题 闭凸锥 正解 凝聚映射 不动点指数 

分 类 号：O175.15[理学—数学]