Asymptotic behavior of linear impulsive integro-differential equations


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

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.56, sa.4, ss.1071-1081, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 56 Konu: 4
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.camwa.2007.08.050
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Sayfa Sayıları: ss.1071-1081

Özet

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.