Article

# Asymptotic behavior of linear impulsive integro-differential equations.

Computers & Mathematics with Applications 01/2008; 56:1071-1081. DOI:10.1016/j.camwa.2007.08.050
Source: DBLP

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.

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