Second order neutral multi-delay differential equations and its oscillatory criteria derived by linearization
AIMS Mathematics, cilt.10, sa.10, ss.24971-24982, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 10 Sayı: 10
- Basım Tarihi: 2025
- Doi Numarası: 10.3934/math.20251105
- Dergi Adı: AIMS Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
- Sayfa Sayıları: ss.24971-24982
- Anahtar Kelimeler: second-order neutral multi-delay differential equations, asymptotic properties, linearization, oscillation theory
- Erciyes Üniversitesi Adresli: Evet
Özet
In this paper, we investigate the oscillatory behavior of second-order neutral multi-delay differential equations (Formula presented). We introduce new monotonic properties of the non-oscillatory solutions of the equation, which are then used to linearize the equation and derive new oscillatory criteria. Our results are further supported by a numerical simulation example.