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, vol.33, pp.187-204, 2026 (Scopus)
- Publication Type: Article / Article
- Volume: 33
- Publication Date: 2026
- Journal Name: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
- Journal Indexes: Scopus, MathSciNet, zbMATH
- Page Numbers: pp.187-204
- Keywords: first-order differential equations, nonoscillatory, oscillatory, Piecewise constant argument of generalized type, simulation
- Süleyman Demirel University Affiliated: Yes
Abstract
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.