Banach空间非线性三阶周期边值问题的正解  

Positive Solutions of Nonlinear Third-order Periodic 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》2013年第3期652-657,共6页Mathematica Applicata

基　　金：陇东学院青年科技创新项目(XYZK1109)

摘　　要：讨论Banach空间E中的非线性三阶周期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 third-order periodic boundary value problem in Banach spaces E was discussed. An existence result of positive solutions was obtained by employing a new estimate of noncompactness measure and the fixed point index theory of condensing mapping.

关 键 词：周期边值问题 闭凸锥 正解 凝聚映射 不动点指数 

分 类 号：O175.15[理学—数学] O177.91[理学—基础数学]