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Asymptotic behavior of linear impulsive integro-differential equations

Akhmet, Marat
Tleubergenova, M. A.
Asymptotic equilibria of linear integro-differential equations and asymptotic relations between solutions of linear homogeneous impulsive differential equations and those of linear integro-differential equations are established. A new Gronwall-Bellman type lemma for integro-differential inequalities is proved. An example is given to demonstrate the validity of one of the results. (c) 2008 Elsevier Ltd. All rights reserved.