ON A CLASS OF FOURTH-ORDER NEUTRAL DIFFERENTIAL EQUATION WITH PIECEWISE CONSTANT ARGUMENTS
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, sa.4, ss.929-940, 2024 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2024
- Doi Numarası: 10.31801/cfsuasmas.1473166
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.929-940
- Ankara Üniversitesi Adresli: Evet
Özet
. In this paper, we investigate a fourth-order neutral differential equation characterized by piecewise constant arguments. Our study focuses on establishing both the existence and uniqueness of solutions to this equation, incorporating a prescribed initial condition. In addition, we investigate the stability analysis of the above-mentioned equation and show that the zero solution of this equation cannot be asymptotically stable and indicate under what conditions it is unstable. Through rigorous mathematical analysis and theoretical exploration, this research contributes to the deeper understanding of fourth-order neutral differential equations with piecewise constant arguments, offering insights into their solution behavior and stability properties.