Non-autonomous nonlinear integro-differential equations with infinite delay

In this paper we consider a non-autonomous abstract nonlinear Volterra integro-differential equation with infinite delay in a Banach space. We establish the existence and uniqueness of a strict solution under a certain local Lipschitz condition on the nonlinear map and an integrability condition on...

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 70; no. 7; pp. 2642 - 2653
Main Authors:	Bahuguna, D., Pandey, D.N., Ujlayan, A.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Ltd 01.04.2009 Elsevier
Subjects:	Exact sciences and technology Hyperbolic problem Infinite delay Mathematical analysis Mathematics Non-autonomous integro-differential equation Phase space Sciences and techniques of general use Non-autonomous integro-differential equation Infinite delay Phase space Hyperbolic problem Non linear equation Nonlinear analysis Hyperbolic equation Mathematical model Integrodifferential equation Partial differential equation
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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