Journal of Applied Mathematics and Stochastic Analysis
Volume 4 (1991), Issue 1, Pages 83-93
doi:10.1155/S1048953391000059

Stability of Volterra system with impulsive effect

M. Ramamohana Rao1 and S. Sivasundaram2

1Department of Mathematics, I.I.T. , Kanpnr 208016, India
2Department of Mathematics and Physical Sciences, College of Engineering and Aviation Sciences, Embry-Riddle Aeronautical University, Daytona Beach 32014, FL, USA

Received 1 February 1990; Revised 1 January 1991

Copyright © 1991 M. Ramamohana Rao and S. Sivasundaram. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Sufficient conditions for uniform stability and uniform asymptotic stability of impulsive integrodifferential equations are investigated by constructing a suitable piecewise continuous Lyapunov-like functionals without the decresent property. A result which establishes no pulse phenomena in the given system is also discussed.