Oscillation criteria for first-order nonlinear differential equations with several delays-Reference-Cited by-同舟云学术

Oscillation criteria for first-order nonlinear differential equations with several delays

Published:2022 Issue:16 Volume:36 Page:5665-5675
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Dix Julio¹,Kılıç Nurten²,Öcalan Özkan³

Affiliation:

1. Department of Mathematics, Texas State University, University Drive, San Marcos, USA

2. Department of Mathematics, Faculty of Science and Art, Kütahya Dumlupınar University, Kütahya, Turkey

3. Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Turkey

Abstract

In this article, we study a first order nonlinear delay differential equation x?(t) + ?m i=1 pi(t) fi(x(?i(t))) = 0, t ? t0, where pi(t) and ?i(t) are the functions of nonnegative of real numbers and ?i(t) are not necessarily monotone for 1 ? i ? m. Also, we present new sufficient conditions for the oscillatory solutions of this equation. Our results essentially improve the conditions in the literature. Finally, we give examples to illustrate our results.

Publisher

National Library of Serbia

Subject

General Mathematics

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