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Asymptotic behavior of linear impulsive integro-differential equations

✍ Scribed by M.U. Akhmet; M.A. Tleubergenova; O. Yılmaz

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
329 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis

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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✍ Liguang Xu; Daoyi Xu 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 354 KB

In this paper, a nonlinear impulsive neutral integro-differential equation with time-varying delays is considered. By establishing a singular impulsive delay integro-differential inequality and transforming the n-dimensional impulsive neutral integro-differential equation to a 2n-dimensional singula