On monotone iterative method for initial value problems of nonlinear second-order integro-differential equations in Banach spaces

被引：0

作者：

Chen, FQ ^{[1
]}

Chen, YS ^{[1
]}

机构：

[1] Tianjin Univ, Dept Mech, Tianjin 300072, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2000年 / 21卷 / 05期

关键词：

integro-differential equations; Kuratowski measure of noncompactness; coupled lower and upper quasisolutions; monotone iterative method;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the monotone iterative method and Monch Fixed point theorem, the existence of solutions and coupled minimal and maximal quasisolutions of initial value problems for mixed monotone second-order integro-differential equations in Banach spaces are studied. Some existence theorems of solutions and coupled minimal and maximal quasisolutions are obtained.

引用

页码：509 / 518

页数：10

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