Asymptotic Behavior of Linear Impulsive Integro-Differential Equations

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Abstract

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. © 2008 Elsevier Ltd. All rights reserved.

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0101 mathematics, 01 natural sciences

Citation

Akhmet, M., Tleubergenova, M. A., and Yılmaz, O. (2008). Asymptotic behavior of linear impulsive integro-differential equations. Computers and Mathematics with Applications, 56(4), 1071-1081. doi:10.1016/j.camwa.2007.08.050

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Computers and Mathematics with Applications

Volume

56

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4

Start Page

1071

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1081
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