AN IMPROVED OSCILLATION THEOREM FOR NONLINEAR DIFFERENTIAL EQUATIONS OF ADVANCED TYPE


Kiliç N., ÖCALAN Ö., Yildiz M. K.

Archivum Mathematicum, cilt.60, sa.3, ss.145-152, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.5817/am2024-3-145
  • Dergi Adı: Archivum Mathematicum
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Central & Eastern European Academic Source (CEEAS), MathSciNet, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.145-152
  • Anahtar Kelimeler: advanced equations, nonmonotone argument, oscillatory solution
  • Akdeniz Üniversitesi Adresli: Evet

Özet

This paper deals with the oscillatory solutions of the first order nonlinear advanced differential equation. The aim of the present paper is to obtain an oscillation condition for this equation. This result is new and improves and correlates many of the well-known oscillation criteria that were in the literature. Finally, an example is given to illustrate the main result.