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On the Practical Stability of the Solutions of Impulsive Systems of Differential-Difference Equations with Variable Impulsive Perturbations

✍ Scribed by Drumi D. Bainov; Ivanka M. Stamova

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 193 KB
Volume: 200
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0204

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✦ Synopsis

In the present paper the question of the practical stability of the solutions of impulsive systems of differential-difference equations with variable impulsive perturbations is discussed. In the investigations piecewise continuous functions are used which are analogues of Lyapunov's functions, and a technique such that certain minimal subsets of a suitable space of piecewise continuous functions are chosen, by the elements of which the derivatives of Lyapunov's functions are estimated.

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