一类无穷区间上微分方程3点边值问题正解的存在性  

The Existence of Positive Solutions for a Three-point Boundary Value Problem on Infinite Intervals

作　　者：杨戍[1] 王艳萍[2] 

机构地区：[1]华北科技学院基础部,北京101601 [2]防灾科技学院地震科学系,北京101601

出　　处：《河北师范大学学报（自然科学版）》2012年第5期433-437,共5页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11101385);中央高校基本科研业务费专项基金(JCB1206)

摘　　要：讨论了半无穷区间上二阶3点边值问题正解的存在性,通过引入一个有效算子、锥不动点理论,尤其是Krasnoscclskii不动点理论,建立了正解的存在法则,减弱对非线性项定号的约束,允许非线性项在变号的情况下正解的存在.The existence of at least one positive solution for a class of three-point boundary value problem on the half-line is discussed.By using an effective operator,the fixed point theorems in core,especially Krasnosel’skii fixed point theorem,can be applied to such systems and then existence criteria are established with certain growth conditions imposed.The usual restriction is removed.

关 键 词：3点边值问题 正解 不动点理论 锥 变号 

分 类 号：O175.8[理学—数学] O175.14[理学—基础数学]