Asymptotic behavior of linear impulsive integro-differential equations

作者：Akhmet M U^*; Tleubergenova M A; Yilmaz O

来源：Computers & Mathematics with Applications, 2008, 56(4): 1071-1081.

DOI：10.1016/j.camwa.2007.08.050

• impulsive integro-differential equations
• linear systems
• asymptotic equilibria
• asymptotic equivalence

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.

• 出版日期2008-8