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, cilt.44, ss.1439-1446, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 44 Konu: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40995-020-00946-9
  • Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Sayfa Sayıları: ss.1439-1446

Özet

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.