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  • 标题:Asymptotic stability and boundedness criteria for nonlinear retarded Volterra integro-differential equations
  • 本地全文:下载
  • 作者:Cemil Tunç ; Cemil Tunç
  • 期刊名称:Journal of King Saud University - Science
  • 印刷版ISSN:1018-3647
  • 出版年度:2018
  • 卷号:30
  • 期号:4
  • 页码:531-536
  • DOI:10.1016/j.jksus.2017.05.003
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractIn 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.
  • 关键词:Volterra integro-differential equation;First order;Retardation;Asymptotic stability;Boundedness;Lyapunov–Krasovskii functional
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