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

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.