More Effective Criteria for Testing the Oscillation of Solutions of Third-Order Differential Equations-Reference-Cited by-同舟云学术

More Effective Criteria for Testing the Oscillation of Solutions of Third-Order Differential Equations

Published:2024-02-22 Issue:3 Volume:13 Page:139
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Omar Najiyah¹,Serra-Capizzano Stefano²³,Qaraad Belgees¹^ORCID,Alharbi Faizah⁴,Moaaz Osama⁵^ORCID,Elabbasy Elmetwally M.¹

Affiliation:

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

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

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

4. Mathematics Department, Faculty of Sciences, Umm Al-Quraa University, Makkah 24227, Saudi Arabia

5. Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia

Abstract

In the current paper, we aim to study the oscillatory behavior of a new class of third-order differential equations. In the present study, we are interested in a better understanding of the relationships between the solutions and their derivatives. The recursive nature of these relationships enables us to obtain new criteria that ensure the oscillation of all solutions of the studied equation. In comparison with previous studies, our results are more general and include models in a wider range of applications. Furthermore, our findings are also significant because no additional restrictive conditions are required. The presented examples illustrate the significance of the results.

Funder

European High-Performance Computing Joint Undertaking

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/3/139/pdf

Reference38 articles.

1. Strikwerda, J.C. (1989). Finite Difference Schemes and Partial Differential Equations, Chapman and Hall.

2. Ciarlet, P. (1978). The Finite Element Method for Elliptic Problems, North Holland.

3. Versteeg, H.K., and Malalasekera, W. (2007). An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Pearson Education.

4. Cottrell, J.A., Hughes, T.J.R., and Bazilevs, Y. (2009). Isogeometric Analysis: Toward integration of CAD and FEA, John Wiley & Sons.

5. Böttcher, A., and Silbermann, B. (2012). Introduction to Large Truncated Toeplitz Matrices, Springer Science & Business Media.