Asymptotic behavior of linear impulsive integro-differential equations

AKHMET, MARAT; Tleubergenova, M.; YILMAZ, Oğuz

doi:10.1016/j.camwa.2007.08.050

Asymptotic behavior of linear impulsive integro-differential equations

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AKHMET M., Tleubergenova M. A., YILMAZ O.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.56, no.4, pp.1071-1081, 2008 (SCI-Expanded)

Publication Type: Article / Article
Volume: 56 Issue: 4
Publication Date: 2008
Doi Number: 10.1016/j.camwa.2007.08.050
Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.1071-1081
Middle East Technical University Affiliated: Yes

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. (c) 2008 Elsevier Ltd. All rights reserved.