On the stability in terms of two measures for perturbed impulsive integro-differential equations |
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| Authors: | Peiguang Wang Hairong Lian |
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| Institution: | a College of Electronic Information and Engineering, Hebei University, Baoding, 071002, People's Republic of China
b Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, People's Republic of China |
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| Abstract: | This paper establishes several stability criteria for perturbed impulsive integro-differential equations with fixed moments of impulsive effect. By using a new comparison theorem, which connects the solutions of perturbed system and the unperturbed one, some sufficient conditions for the stability in terms of two measures are obtained for the perturbed system while unperturbed one dissatisfied which because of the effect of the perturbed terms. |
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| Keywords: | Perturbed impulsive integro-differential equations Stability in terms of two measures Variation of Lyapunov second method Comparison principle |
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