首页    期刊浏览 2025年07月16日 星期三
登录注册

文章基本信息

  • 标题:Boundedness and asymptotic stability of nonlinear Volterra integro-differential equations using Lyapunov functional
  • 本地全文:下载
  • 作者:Miled El Hajji
  • 期刊名称:Journal of King Saud University - Science
  • 印刷版ISSN:1018-3647
  • 出版年度:2019
  • 卷号:31
  • 期号:4
  • 页码:1516-1521
  • DOI:10.1016/j.jksus.2018.11.012
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractIn this paper, I consider Lyapunov functionals combined with the Laplace transform to obtain boundedness results regarding the solutions of the nonlinear Volterra integro-differential equationsx′(t)=A(t)x(t)+B(t)+∫0tC(t,s)f(x(s))ds+g(x(t)).Asymptotic stability results regarding the zero solution are carried out for the case whereB(t)is identically zero. Numerical examples are proposed to perform the given results.
  • 关键词:Nonlinear Volterra integro-differential equations;Laplace transform;Lyapunov functionals;Boundedness;Asymptotic stability
国家哲学社会科学文献中心版权所有