Asymptotic stability and boundedness criteria for nonlinear retarded Volterra integro-differential equations

TUNÇ C.

JOURNAL OF KING SAUD UNIVERSITY SCIENCE, cilt.30, sa.4, ss.531-536, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.jksus.2017.05.003
  • Dergi Adı: JOURNAL OF KING SAUD UNIVERSITY SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.531-536
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this article, we construct new specific conditions for the asymptotic stability (AS) and boundedness (B) of solutions to nonlinear Volterra integro-differential equations (VIDEs) of first order with a constant retardation. Our analysis is based on the successful construction of suitable Lyapunov-Krasovskii functionals (LKFs). The results of this paper are new, and they improve and complete that can be found in the literature. (C) 2017 The Author. Production and hosting by Elsevier B.V. on behalf of King Saud University.