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Second method of Lyapunov and comparison principle for impulsive differential–difference equations

Published online by Cambridge University Press:  17 February 2009

D. D. Bainov and
I. M. Stamova
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Abstract

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In the present paper questions related to stability and boundedness with respect to manifolds of solutions of impulsive differential-difference equations are considered. The investigations are carried out by means of piecewise-continuous functions which are analogues of the classical Lyapunov's functions. By means of a vectorial comparison equation and differential inequalities for piecewise-continuous functions, theorems are proved on stability and boundedness with respect to manifolds of solutions of impulsive differential-difference equations with impulse effect at fixed moments.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 38 , Issue 4 , April 1997, pp. 489 - 505
Copyright
Copyright © Australian Mathematical Society 1997

References

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