DYNAMICS OF A THIRD ORDER DIFFERENTIAL EQUATION WITH PIECEWISE CONSTANT ARGUMENT OF GENERALIZED TYPE
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, cilt.29, sa.4, ss.259-274, 2022 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 29 Sayı: 4
- Basım Tarihi: 2022
- Dergi Adı: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
- Derginin Tarandığı İndeksler: Scopus, zbMATH
- Sayfa Sayıları: ss.259-274
- Anahtar Kelimeler: Lyapunov funtion, Lyapunov funtional, piee-wise onstant argument of generalized type, simulation, third order differential equation, Uniform asymptoti stability
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this work, we address a third order differential equation with generalized pieewise onstant argument. Investigation onerning the existene, uniqueness of the solutions of the equation is performed. Suffiient onditions that guarantee the existene of uniformly asymptotially stable trivial solution are given on the basis of both Lyapunov-Krasovskii and Lyapunov-Razumikhin methods. The results are supported by an example and a simulation.