EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NONLINEAR MIXED INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITION IN BANACH SPACES

被引：0

作者：

Dhakne, Machindra B. ^{[1
]}

Tidke, Haribhau L. ^{[2
]}

机构：

[1] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad 431004, Maharashtra, India

[2] N Maharashtra Univ, Sch Math Sci, Dept Math, Jalgaon 425001, India

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年

关键词：

Existence and uniqueness; mild and strong solutions; mixed Volterra-Fredholm; integrodifferential equation; Banach fixed point theorem; nonlocal condition;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the existence and uniqueness of mild and strong solutions of a nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition in Banach spaces. Furthermore, we study continuous dependence of mild solutions. Our analysis is based on semigroup theory and Banach fixed point theorem.

引用

页数：10

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