Semigroups on Frechet spaces and equations with infinite delays

Sengadir, T (2007) Semigroups on Frechet spaces and equations with infinite delays. In: Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 117 (1). pp. 71-84.

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Abstract

In this paper, we show existence and uniqueness of a solution to a functional differential equation with infinite delay. We choose an appropriate Frechet space so as to cover a large class of functions to be used as initial functions to obtain existence and uniqueness of solutions.

Item Type:	Journal Article
Publication:	Proceedings of the Indian Academy of Sciences - Mathematical Sciences
Publisher:	Indian Academy of Sciences.
Additional Information:	Copyright of this article belongs to Indian Academy of Sciences.
Keywords:	Functional differential equation; infinite delay; semigroup; Frechet space.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	10 Jun 2010 09:44
Last Modified:	19 Sep 2010 05:59
URI:	http://eprints.iisc.ac.in/id/eprint/26840

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