期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
The Existence of Positive Solutions for a Three-point Boundary Value Problem on Infinite Intervals
摘要/Abstract
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.
Abstract：
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
Key words：
three-point boundary value problem
;
positive solution
;
fixed point theorem
;
cone
;
signchanging