Oscillation of Emden–Fowler-Type Differential Equations with Non-Canonical Operators and Mixed Neutral Terms-Reference-Cited by-同舟云学术

Oscillation of Emden–Fowler-Type Differential Equations with Non-Canonical Operators and Mixed Neutral Terms

Published:2023-02-19 Issue:2 Volume:15 Page:553
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Marappan Sathish Kumar¹^ORCID,Almutairi Alanoud²^ORCID,Iambor Loredana Florentina³^ORCID,Bazighifan Omar⁴^ORCID

Affiliation:

1. Department of Mathematics, Paavai Engineering College (Autonomous), Namakkal 637 018, Tamilnadu, India

2. Department of Mathematics, Faculty of Science, University of Hafr Al Batin, P.O. Box 1803, Hafar Al Batin 31991, Saudi Arabia

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

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

Abstract

The study of the symmetric properties of differential equations is essential for identifying effective methods for solving them. In this paper, we examine the oscillatory behavior of solutions of Emden–Fowler-type mixed non-linear neutral differential equations with both canonical and non-canonical operators. By utilizing integral conditions and the integral averaging method, we present new sufficient conditions to ensure that all solutions are oscillatory. Our results enhance and extend previous findings in the literature and are illustrated with suitable examples to demonstrate their effectiveness.

Funder

University of Oradea

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/2/553/pdf

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5. Agarwal, R.P., Bohner, M., and Li, W.T. (2004). Nonoscillation and Oscillation: Theory for Functional Differential Equations, Marcel Dekker. In Pure and Applied Mathematics.

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