Banach空间中二阶非线性奇异微分方程多点无穷边值问题的正解  

Positive Solutions for Multipoint Infinite Boundary Value Problems of Nonlinear Second-order Singular Differantial Equations in Banach Spaces

作　　者：张海燕[1] 

机构地区：[1]宿州学院数学与统计学院,安徽宿州234000

出　　处：《应用数学》2012年第3期535-541,共7页Mathematica Applicata

基　　金：安徽省自然科学基金项目(11040606M01);安徽省高校自然科学基金项目(KJ2012B187;KJ2012A265)

摘　　要：利用锥理论和Mōnch不动点定理结合单调迭代技巧,研究了Banach空间中一类二阶非线性奇异微分方程多点无穷边值问题,获得了正解的存在性定理和正解的迭代序列.By using cone theory and the M6nch fixed theorem combined with a monotone iterative technique,we investigate multipoint infinite boundary value problems of second order nonlinear singular, differential equations in Banach spaces and establish the existence theorem of positive solutions and iterative sequence for approximating the positive solutions.

关 键 词：奇异微分方程 正解 多点边值问题 Mōnch不动点定理 

分 类 号：O175[理学—数学]