New Conditions for Testing the Oscillation of Solutions of Second-Order Nonlinear Differential Equations with Damped Term-Reference-Cited by-同舟云学术

New Conditions for Testing the Oscillation of Solutions of Second-Order Nonlinear Differential Equations with Damped Term

Published:2024-02-04 Issue:2 Volume:13 Page:105
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Al-Jaser Asma¹,Qaraad Belgees²^ORCID,Ramos Higinio³⁴^ORCID,Serra-Capizzano Stefano⁵⁶

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. Scientific Computing Group, Universidad de Salamanca, Plaza de la Merced, 37008 Salamanca, Spain

4. Department of Mathematics, Escuela Politecnica Superior de Zamora, Campus Viriato, 49022 Zamora, Spain

5. Department of Science and High Technology, University of Insubria, Via Valleggio 11, 22100 Como, Italy

6. Division of Scientific Computing, Department of Information Technology, Uppsala University, Lägerhyddsv 2, hus 2, SE-751 05 Uppsala, Sweden

Abstract

This paper deals with the oscillatory behavior of solutions of a new class of second-order nonlinear differential equations. In contrast to most of the previous results in the literature, we establish some new criteria that guarantee the oscillation of all solutions of the studied equation without additional restrictions. Our approach improves the standard integral averaging technique to obtain simpler oscillation theorems for new classes of nonlinear differential equations. Two examples are presented to illustrate the importance of our findings.

Funder

Princess Nourah bint Abdulrahman University Researchers Supporting Project

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/13/2/105/pdf

Reference35 articles.

1. Al Themairi, A., Qaraad, B., Bazighifan, O., and Nonlaopon, K. (2022). Third-Order Neutral Differential Equations with Damping and Distributed Delay: New Asymptotic Properties of Solutions. Symmetry, 14.

2. Aldiaiji, M., Qaraad, B., Iambor, L.F., and Elabbasy, E.M. (2023). New Oscillation Theorems for Second-Order Superlinear Neutral Differential Equations with Variable Damping Terms. Symmetry, 15.

3. Memoire sur les equations differentielles lineaires du second ordre;Sturm;J. Math. Pures Appl.,1836

4. Hale, J.K. (1971). Analytic Theory of Differential Equations, Springer.

5. Cesarano, C., Moaaz, O., Qaraad, B., Alshehri, N.A., Elagan, S.K., and Zakarya, M. (2021). New Results for Oscillation of Solutions of Odd-Order NeutralDifferential Equations. Symmetry, 13.