Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations | Zendy

Danhua He | Zendy; Liguang Xu | Zendy

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Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations

Author(s) -

Danhua He,

Liguang Xu

Publication year - 2009

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/2009/369185

Subject(s) - mathematics , inequality , stability (learning theory) , mathematical analysis , computer science , machine learning

The exponential stability of singularly perturbed impulsive delay integrodifferential equations (SPIDIDEs) is concerned. By establishing an impulsive delay integrodifferential inequality (IDIDI), some sufficient conditions ensuring the exponentially stable of any solution of SPIDIDEs for sufficiently small ε>0 are obtained. A numerical example shows the effectiveness of our theoretical results

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