Methods and Applications of Analysis

Volume 16 (2009)

Number 3

Lyapunov's Functions and Existence of Integral Manifolds for Impulsive Differental Systems with Time-varying Delay

Pages: 291 – 298

DOI: https://dx.doi.org/10.4310/MAA.2009.v16.n3.a1

Author

Gani Stamov

Abstract

In this paper the existence of integral manifolds for impulsive differential systems with time-varying delay and with impulsive effect at fixed moments are investigated. The main results are obtained by using of piecewise continuous Lyapunov's functions and Razumikhin's technique.

Keywords

Integral manifold, impulsive differential systems

2010 Mathematics Subject Classification

34A37, 42B25

Full Text (PDF format)

Published 1 January 2009