An improved oscillation theorem for nonlinear delay differential equations


Kılıç N., ÖCALAN Ö., Yıldız M. K.

Applied Mathematics and Computation, vol.478, 2024 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 478
  • Publication Date: 2024
  • Doi Number: 10.1016/j.amc.2024.128852
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Keywords: Nonlinear equation, Nonmonotone argument, Oscillatory solution
  • Akdeniz University Affiliated: Yes

Abstract

In this article, we establish a new oscillation criterion for all solutions of first order nonlinear delay differential equations. The main result improves well-known oscillation conditions in the literature. Besides, an example is presented to prove the importance of the main theorem.