An improved oscillation theorem for nonlinear differential equations of advanced type

Nurten Kiliç, Özkan Öcalan, and Mustafa Kemal Yildiz

Address: Corresponding author: N. Kılıç, Kütahya Dumlupınar University, Faculty of Science and Art, Department of Mathematics, 43100 Kütahya, Turkey

E-mail: nurten.kilic@dpu.edu.tr

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.

AMSclassification: primary 34C10; secondary 34K06, 34K11.

Keywords: advanced equations, nonmonotone argument, oscillatory solution.

DOI: 10.5817/AM2024-3-145