GLOBAL EXISTENCE FOR ABSTRACT NONLINEAR VOLTERRA-FREDHOLM FUNCTIONAL INTEGRODIFFERENTIAL EQUATION

被引：0

作者：

Dhakne, M. ^{[1
]}

Kucche, Kishor ^{[2
]}

机构：

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

[2] Shivaji Univ, Dept Math, Kolhapur 416004, Maharashtra, India

来源：

DEMONSTRATIO MATHEMATICA | 2012年 / 45卷 / 01期

关键词：

global solution; Volterra-Fredholm functional integrodifferential equation; Leray-Schauder alternative; fixed point; priori bounds;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we investigate the global existence of solutions to initial value problem for nonlinear mixed Volterra-Fredholm functional integrodifferential equations in Banach spaces. The technique used in our analysis is based on an application of the topological transversality theorem known as Leray-Schauder alternative and rely on a priori bounds of solution.

引用

页码：117 / 127

页数：11

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