Asymptotics for a gradient system with memory term

Author:
Alexandre Cabot

Journal:
Proc. Amer. Math. Soc. **137** (2009), 3013-3024

MSC (2000):
Primary 34G20, 34A12, 34D05

DOI:
https://doi.org/10.1090/S0002-9939-09-09910-9

Published electronically:
May 4, 2009

MathSciNet review:
2506460

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Given a Hilbert space and a function of class , we investigate the asymptotic behavior of the trajectories associated to the following dynamical system:

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Additional Information

**Alexandre Cabot**

Affiliation:
Département de Mathématiques, Université Montpellier II, CC 051, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France

Email:
acabot@math.univ-montp2.fr

DOI:
https://doi.org/10.1090/S0002-9939-09-09910-9

Keywords:
Differential equation,
dissipative dynamical system,
averaged gradient system,
memory effect,
Bessel equation

Received by editor(s):
October 22, 2008

Published electronically:
May 4, 2009

Communicated by:
Walter Craig

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.