非线性奇异微分方程无穷边值问题的正解  

Positive Solutions to Infinite Boundary Value Problems in Nonlinear Singular Differential Equation

作　　者：王颖[1] 

机构地区：[1]临沂师范学院理学院,山东临沂276005

出　　处：《内江师范学院学报》2009年第12期16-19,共4页Journal of Neijiang Normal University

基　　金：国家自然科学基金(10771117);山东省自然科学基金(Y2007A23)资助项目

摘　　要：通过构造一个特殊的锥,利用范数型Krasnosel-skii不动点理论讨论了一类二阶非线性奇异微分方程无穷边值问题正解的存在性.By constructing a special cone, and the use of Krasnosel-skii fixpoint theory, the possibility of the existence of positive solutions to the infinite boundary value problems in second-order nonlinear singular differential equations is put under examination. The results significantly extend and improve many known results.

关 键 词：无穷边值问题 不动点 正解 锥 

分 类 号：O174.41[理学—数学]