Qualitative Behavior of a Lienard-Type Differential Equation with Piecewise Constant Delays


ARUĞASLAN ÇİNÇİN D. , Cengiz N.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, vol.44, no.5, pp.1439-1446, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 5
  • Publication Date: 2020
  • Doi Number: 10.1007/s40995-020-00946-9
  • Title of Journal : IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Page Numbers: pp.1439-1446

Abstract

In this paper, a Lienard-type differential equation with piecewise constant argument of generalized type is proposed. Existence and uniqueness of the solutions are investigated. Uniform asymptotic stability of the trivial solution is examined by the Lyapunov-Krasovskii method. The obtained theoretic results are exemplified and supported by a simulation.