IJPAM: Volume 5, No. 1 (2003)

EXISTENCE RESULTS FOR ABSTRACT NEUTRAL
INTEGRODIFFERENTIAL EQUATIONS

K. Balachandran$^1$, J.P. Dauer$^2$, S. Karunanithi$^3$
$^{1,3}$Department of Mathematics
Bharathiar University
Coimbatore-641 046, INDIA
$^1$e-mail: balachandran_k@lycos.com
$^2$Department of Mathematics
University of Tennessee at Chattanooga
615 McCallie Avenue, Chattanooga
TN 37403-2598, USA
$^2$e-mail: jdauer@cecasun.utc.edu


Abstract.In this paper we prove the existence of solutions of neutral functional integrodifferential equations in a Banach space. The result is obtained by using the Schaefer fixed point theorem. As an application the controllability problem for the neutral system is discussed.

Received: December 27, 2002

AMS Subject Classification: 34G40, 34K40, 45K05

Key Words and Phrases: existence of solution, integrodifferential equation, semigroup theory, Schaefer fixed point theorem

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 5
Issue: 1