摘要
讨论了一类二阶积—微分方程两点边值问题解的存在性,利用上下解方法和Schauder不动点定理在较弱的条件下得到了方程解存在性的充分条件。
This paper discusses the existence of solution for a class of two-point boundary value problem of second order integral-differential equations. By using lower and upper solutions method and Schander fixed point theorem, it obtains the sufficient conditions for the existence of solution under weaker conditions.
出处
《长春大学学报》
2012年第4期416-418,422,共4页
Journal of Changchun University
基金
安徽省优秀青年人才基金项目(2012SQRL051)
关键词
积-微分方程
两点边值
上下解
SCHAUDER不动点定理
integral-differential equation
two-point boundary value
upper and lower solutions
Schander fixed-point theorem