A NEW OSCILLATION RESULT FOR NONLINEAR DIFFERENTIAL EQUATIONS WITH NONMONOTONE DELAY

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Kilic N., ÖCALAN Ö.

Miskolc Mathematical Notes, cilt.24, sa.2, ss.841-851, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.18514/mmn.2023.4015
  • Dergi Adı: Miskolc Mathematical Notes
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.841-851
  • Anahtar Kelimeler: nonlinear delay equation, nonmonotone argument, oscillatory solution
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this article, our objective is to study the oscillation of first order nonlinear delay differential equation (Formula Presented) where the functions p(t) and τ(t) are functions of nonnegative real numbers, τ(t) is not necessarily monotone such that τ(t) ≤ t for t ≥ t0, (Formula Presented) and xf(x) > 0 for x ≠ 0. Also, we establish a new oscillation condition involving both limsup and liminf. Finally, we present two examples to demonstrate the main result.