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Zbl 1101.34065
Akhmet, M.U.; Alzabut, J.; Zafer, A.
Perron's theorem for linear impulsive differential equations with distributed delay. (English)
[J] J. Comput. Appl. Math. 193, No. 1, 204-218 (2006). ISSN 0377-0427

The authors show that under a Perron condition, the trivial solution of a linear impulsive differential equation with distributed delay is uniformly asymptotically stable.
[Gani T. Stamov (Sliven)]
MSC 2000:
*34K45 Equations with impulses
34K20 Stability theory of functional-differential equations
34K06 Linear functional-differential equations

Keywords: Perron condition; Stability; Impulse; Distributed delay

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