ON MONOTONE ITERATIVE METHOD FOR INITIAL VALUE PROBLEMS OF NONLINEAR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES

被引：0

作者：

陈芳启

陈予恕

机构：

来源：

Applied Mathematics and Mechanics(English Edition) | 2000年 / 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：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

Using the monotone iterative method and Mnch 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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