Second-Order Damped Differential Equations with Superlinear Neutral Term: New Criteria for Oscillation-Reference-Cited by-同舟云学术

Second-Order Damped Differential Equations with Superlinear Neutral Term: New Criteria for Oscillation

Published:2024-04-01 Issue:4 Volume:13 Page:234
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Al-Jaser Asma¹,Cesarano Clemente²,Qaraad Belgees³^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. Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy

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

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

Abstract

This paper focuses on establishing new criteria to guarantee the oscillation of solutions for second-order differential equations with a superlinear and a damping term. New sufficient conditions are presented, aimed at analysing the oscillatory properties of the solutions to the equation under study. To prove these results, we employed various analysis methods, establishing new relationships to address certain problems that have hindered previous research. Consequently, by applying the principles of comparison and the Riccati transformation, we obtained findings that develop and complement those reported in earlier literature. The significance of our results is illustrated with several examples.

Funder

Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/4/234/pdf

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