Banach空间二阶脉冲积-微分方程三点边值问题  

Three-Point Boundary Value Problems for Impulsive Integro-Differential Equations in Banach Spaces

作　　者：戚仕硕[1] 王建国[2] 

机构地区：[1]郑州大学数学系,郑州450052 [2]山东教育学院数学系,济南250013

出　　处：《数学学报（中文版）》2003年第6期1189-1198,共10页Acta Mathematica Sinica：Chinese Series

基　　金：郑州大学青年骨干教师基金资助项目

摘　　要：本文研究了Banach空间中两类具有一端点值固定边界条件的二阶脉冲积- 微分方程三点边值问题解的存在性,并且获得了完全不同的先验估计.The present paper investigates the existence of solutions, with their values fixed at one end point, of two classes of three-point boundary value problems for the second order impulsive integro-differential equations in Banach spaces, and the a priori estimates obtained in both of the two cases are completely different.

关 键 词：脉冲积-微分方程 三点边值问题 严格集压缩映象 BANACH空间 先验估计 

分 类 号：O175.6[理学—数学] O175.8[理学—基础数学]