Global existence for abstract nonlinear Volterra–Fredholm functional integrodifferential equation-Reference-Cited by-同舟云学术

Global existence for abstract nonlinear Volterra–Fredholm functional integrodifferential equation

Published:2012-01-01 Issue:1 Volume:45 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
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Author:

Dhakne M. B.,Kucche Kishor D.

Abstract

AbstractIn 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2013-0349/pdf

Reference11 articles.

1. An integro - differential equation with applications in heat flow Quart;MacCamy;Appl Math,1977

2. Existence results for differential delay equations Differential;Lee;Equations,1993

3. Integral equations and stability of feedback system Academic Press New York Nonlinear Volterra Fredholm functional integrodifferential equation Global existence of solution of nonlinear functional integral equations Pure;Corduneanu;Appl Math,1973

4. Applications of the Leray Shauder alternative to some Volterra integral and integrodifferential equations Pure;Pachpatte;Appl Math,1995

5. Initial and boundary value problems for functional differential equa tions via the topological transversality method survey Bull Greek;Ntouyas;Math Soc,1998

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