OSCILLATORY AND NONOSCILLATORY CRITERIA OF FIRST ORDER DIFFERENTIAL EQUATIONS WITH GENERALIZED PIECEWISE CONSTANT DELAY
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, cilt.33, ss.187-204, 2026 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33
- Basım Tarihi: 2026
- Dergi Adı: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
- Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.187-204
- Anahtar Kelimeler: first-order differential equations, nonoscillatory, oscillatory, Piecewise constant argument of generalized type, simulation
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, we investigate first-order differential equations with piecewise constant argument of generalized type (DEPCAG), and derive several theoretical results concerning the oscillatory behavior of the solutions. Various examples are presented to verify the validity of the obtained theoretical results. Furthermore, simulation graphs are included to visually demonstrate the oscillatory behavior of the proposed examples.