Second-Order Neutral Differential Equations with Distributed Deviating Arguments: Oscillatory Behavior-Reference-Cited by-同舟云学术

Second-Order Neutral Differential Equations with Distributed Deviating Arguments: Oscillatory Behavior

Published:2023-06-07 Issue:12 Volume:11 Page:2605
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Al-Jaser Asma¹^ORCID,Qaraad Belgees²,Bazighifan Omar³^ORCID,Iambor Loredana Florentina⁴^ORCID

Affiliation:

1. Department of Mathematical Science, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

3. Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy

4. Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania

Abstract

In this paper, new criteria for a class oscillation of second-order delay differential equations with distributed deviating arguments were established. Our method mainly depends on making sharper estimates for the non-oscillatory solutions of the studied equation. By using the Ricati technique and comparison theorems that compare the studied equations with first-order delay differential equations, we obtained new and less restrictive conditions that ensure the oscillation of all solutions of the studied equation. Further, we give an illustrative example.

Funder

Princess Nourah bint Abdulrahman University Researchers Supporting Project

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/12/2605/pdf

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