AN IMPROVED OSCILLATION THEOREM FOR NONLINEAR DIFFERENTIAL EQUATIONS OF ADVANCED TYPE

Kiliç N., ÖCALAN Ö., Yildiz M. K.

Archivum Mathematicum, vol.60, no.3, pp.145-152, 2024 (ESCI, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 60 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.5817/am2024-3-145
  • Journal Name: Archivum Mathematicum
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Central & Eastern European Academic Source (CEEAS), MathSciNet, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.145-152
  • Keywords: advanced equations, nonmonotone argument, oscillatory solution
  • Akdeniz University Affiliated: Yes

Abstract

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.