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



Gani Stamov


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.


Integral manifold; impulsive differential systems

2010 Mathematics Subject Classification

34A37, 42B25

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