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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Keywords
Asymptotic equilibria, Asymptotic equivalence, Impulsive integro-differential equations, Linear systems, Computational Mathematics, Computational Theory and Mathematics, Modelling and Simulation, Asymptotic equivalence, Linear systems, Impulsive integro-differential equations, Asymptotic equilibria
Fields of Science
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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OpenCitations Citation Count
7
Volume
56
Issue
4
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1071
End Page
1081
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