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Exact controllability of generalized Hammerstein type equation

Chalishajar, Dimplekumar N and George, Raju K (2006) Exact controllability of generalized Hammerstein type equation. In: Electronic Journal of Differential Equations, April 23 2006, San Marcos.

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Official URL: http://www.doaj.org/doaj?func=abstract&id=189874

Abstract

In this article, we study the exact controllability of an abstract model described by the controlled generalized Hammerstein type integral equation $$ x(t) = int_0^t h(t,s)u(s)ds+ int_0^t k(t,s,x)f(s,x(s))ds, quad 0 leq t leq T less than infty, $$ where, the state $x(t)$ lies in a Hilbert space $H$ and control $u(t)$ lies another Hilbert space $V$ for each time $t in I=[0,T]$, $T$ greater than 0. We establish the controllability result under suitable assumptions on $h, k$ and $f$ using the monotone operator theory.

Item Type: Conference Paper
Additional Information: Copyright of this article belongs to Narosa Publishing House.
Keywords: Exact controllability;Hammerstein type integral equation; monotone operator;solution operator.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 24 Nov 2011 06:55
Last Modified: 24 Nov 2011 06:55
URI: http://eprints.iisc.ernet.in/id/eprint/42142

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