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On the asymptotic behavior of solutions of integro-differential equations in a Hilbert space

On the asymptotic behavior of solutions of integro-differential equations in a Hilbert space We consider integro-differential equations that are an abstract form of the well-known Gurtin-Pipkin equation. We obtain representations of strong solutions of these equations in the form of series in the exponentials corresponding to points of spectrum of the symbols of such equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

On the asymptotic behavior of solutions of integro-differential equations in a Hilbert space

Differential Equations , Volume 49 (6) – Jul 26, 2013

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References (50)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266113060062
Publisher site
See Article on Publisher Site

Abstract

We consider integro-differential equations that are an abstract form of the well-known Gurtin-Pipkin equation. We obtain representations of strong solutions of these equations in the form of series in the exponentials corresponding to points of spectrum of the symbols of such equations.

Journal

Differential EquationsSpringer Journals

Published: Jul 26, 2013

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