奇异非自治三阶两点边值问题的正解存在性  

Existence of a positive solution of singular nonautonomous third-order two-point boundary value problems

作　　者：姚庆六[1] 

机构地区：[1]南京财经大学应用数学系,江苏南京210003

出　　处：《山东大学学报（理学版）》2012年第6期10-15,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11071109)

摘　　要：研究一类非自治非线性三阶两点边值问题的正解,其中允许非线性项关于时间变元和空间变元为奇异的。通过构造适当的控制函数并且利用锥上的Guo-Krasnosel’skii不动点定理建立了一个正解存在定理。The positive solution of a class of nonautonomous nonlinear third-order two-point boundary value problems is studied,where the nonlinear term is allowed to be singular with respect to the time and space variables.By constructing suitable dominated functions and applying Guo-Krasnosel’skii fixed point theorem on a cone,an existence theorem of a positive solution is established.

关 键 词：奇异常微分方程 非自治边值问题 正解 存在性 

分 类 号：O175.8[理学—数学]