Banach空间积-微分方程含间断项边值问题的解

J4 ›› 2013, Vol. 48 ›› Issue (10): 18-22.

Banach空间积-微分方程含间断项边值问题的解

王建国,刘春晗

齐鲁师范学院数学系, 山东济南 250013

收稿日期:2012-12-19 发布日期:2013-10-14
作者简介:王建国(1965- )，男, 教授, 博士, 研究方向为非线性泛函分析及其应用. Email:jgw0801@163.com
基金资助:
山东省高等学校科技计划研究项目(J09LA55; J12LI53); 齐鲁师范学院青年教师科研基金项目(2013L1306)

The Solutions of initial value problems for integro-differential equations in Banach spaces with discontinuous terms

WANG Jian-guo, LIU Chun-han

Department of Mathematics, Qilu Normal University, Jinan 250013, Shandong, China

Received:2012-12-19 Published:2013-10-14

摘要/Abstract

摘要：

利用无限区间上积-微分方程一个新的比较定理讨论了Banach空间中含间断项的积-微分方程初值问题解的存在惟一性,并给出了解的迭代误差估计式。

关键词: 积-微分方程;比较定理;初值问题;单调迭代方法

Abstract:

By use of a new comparison theorem of integro-differential equations on infinite interval, the existence and uniqueness of solutions of the initial value problem for integro-differential equations with discontinuous terms in Banach spaces are investigated, and the error estimate of the iterative sequences of solutions is given.

Key words: integro-differential equations; comparison theorem; initial value problem; monotone iterative technique

中图分类号:

O177.15

王建国,刘春晗. Banach空间积-微分方程含间断项边值问题的解[J]. J4, 2013, 48(10): 18-22.

WANG Jian-guo, LIU Chun-han. The Solutions of initial value problems for integro-differential equations in Banach spaces with discontinuous terms[J]. J4, 2013, 48(10): 18-22.

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