Oscillatory Features of Fourth-Order Emden–Fowler Differential Equations with Sublinear Neutral Terms-Reference-Cited by-同舟云学术

Oscillatory Features of Fourth-Order Emden–Fowler Differential Equations with Sublinear Neutral Terms

Published:2024-07-22 Issue:7 Volume:16 Page:933
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Masood Fahd¹^ORCID,Albalawi Wedad²,Moaaz Osama³⁴^ORCID,El-Metwally Hamdy⁴^ORCID

Affiliation:

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

2. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

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

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

Abstract

This article examines the oscillatory characteristics of a fourth-order Emden–Fowler differential equation, specifically when it includes a sublinear neutral term. Our methodology centers on establishing multiple theorems that introduce innovative conditions to guarantee that there are no positive solutions to the examined equation. Due to the symmetry between non-oscillatory solutions, we obtain oscillation conditions by excluding only positive solutions. We employ the Riccati technique in various ways to achieve this objective. The criteria presented in this study complement and generalize many findings published in the literature. We support the efficiency of our findings by applying them to an example.

Funder

Princess Nourah bint Abdulrahman University Researchers Supporting Project

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/7/933/pdf

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