On the Practical Stability of Impulsive Differential Equations with Infinite Delay in Terms of Two Measures

On the Practical Stability of Impulsive Differential Equations with Infinite Delay in Terms of Two Measures

We consider the practical stability of impulsive differential equations with infinite delay in terms of two measures. New stability criteria are established by employing Lyapunov functions and Razumikhin technique. Moreover, an example is given to illustrate the advantage of the obtained result.

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Veröffentlicht in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.307-314-320
Hauptverfasser: Wu, Bo, Han, Jing, Cai, Xiushan
Format: Artikel
Sprache:eng
Schlagworte:
Criteria
Delay
Differential equations
Lyapunov functions
Mathematical problems
Power plants
Risk premiums
Stability
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Zusammenfassung:We consider the practical stability of impulsive differential equations with infinite delay in terms of two measures. New stability criteria are established by employing Lyapunov functions and Razumikhin technique. Moreover, an example is given to illustrate the advantage of the obtained result.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/434137