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, sa.5, ss.1439-1446, 2020 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40995-020-00946-9
  • Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Agricultural & Environmental Science Database, Aqualine, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, Communication Abstracts, zbMATH
  • Sayfa Sayıları: ss.1439-1446
  • Süleyman Demirel Üniversitesi Adresli: Evet

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.