Banach空间二阶非线性积-微分方程边值问题正解的存在性  

Existence of Positive Solutions for Nonlinear Second Order Boundary Value Problems for Integro-differential Equations in Banach Spaces

作　　者：钱媛媛[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《山西大学学报（自然科学版）》2011年第4期563-567,共5页Journal of Shanxi University(Natural Science Edition)

基　　金：甘肃省自然科学基金(0710RJZA103);西北师范大学科技创新工程项目(NWNU-KJCXGC-3-47)

摘　　要：讨论了有序Banach空间E中的非线性二阶积-微分方程边值问题-u″(t)=f(t,u(t),(Su)(t)),t∈I,u(0)=u′(1)={θ正解的存在性,用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了该问题正解的存在性结果.The existence of positive solution for second order boundary value problems of integro-differential equations-u″(t)=f(t,u(t),(Su)(t)),t∈I,u(0)=u′(1)=θ in an ordered Banach space E was discussed.An existence result of positive solutions was obtained by employing an estimate of noncompactness measure and the fixed point index theory of condensing mapping.

关 键 词：积-微分方程 Banach空间边值问题 闭凸锥 凝聚映射 不动点指数 

分 类 号：N55[自然科学总论]