摘要
研究了一个带有脉冲效应的高阶积分边值问题的正解.在与相应的线性算子第一特征值有关的条件下,通过运用Krasnoselskii-Zabreiko不动点定理,获得了单个和多重正解的存在性结果.
In this paper,the positive solutions are considered for a high-order integral boundary value problem with impulsive effects.Under some conditions involving the first eigenvalue of the corresponding linear operator,the existence results of single and multiple positive solutions are established by applying Krasnoselskii-Zabreiko fixed point theorem.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2014年第3期527-536,共10页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目(11371117)
山东省自然科学基金资助项目(ZR2013AM009)
山东大学研究生自主创新基金资助项目(yzc12063)
关键词
积分边值问题
脉冲
不动点定理
正解
integral boundary value problem
impulse
fixed point theorem
positive solution