Second order neutral multi-delay differential equations and its oscillatory criteria derived by linearization

TEMTEK P.

AIMS Mathematics, cilt.10, sa.10, ss.24971-24982, 2025 (SCI-Expanded, Scopus) identifier identifier identifier

  • 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.