摘要
本文在Banach空间E中,讨论二阶积分微分方程的Sturm—Liouville型边值问题.利用不动点原理得到两个存在性定理,其中定理2.1是[2]中定理的推广,定理2.2将定理2.1中的紧型条件做了改进.
In this paper,boundary value problems of sturm-Liouville type for integro-differential equations of second order in Banach space are discussed.By using fixed point principles, we obtain two existence theorems. In Theorem 2. 1 we generalize a theorem in[2]. In Theorem 2.2 we improve the noncompactness type condition in Theorem2.1.
出处
《山东师范大学学报（自然科学版）》
CAS
1990年第4期29-35,共7页
Journal of Shandong Normal University(Natural Science)
关键词
积分微分方程
边值问题
不动点
integro-differential equation
boundary value
problem
fixed point
measures of noncompactness
