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.

PDF EXACT_CONTROLLABILITY.pdf - Published Version Restricted to Registered users only Download (276kB) | Request a copy

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
Publisher:	Narosa Publishing House
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.ac.in/id/eprint/42142

Actions (login required)

View Item