Noncanonical Emden–Fowler neutral differential equations: New criteria for oscillation-Reference-Cited by-同舟云学术

Noncanonical Emden–Fowler neutral differential equations: New criteria for oscillation

Published:2023-10-05 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Abouelregal A. E.¹^ORCID,Moaaz O.²³^ORCID,Muhib A.³⁴^ORCID,Abouhawwash M.⁵,Khalil K. M.¹,Nasr M. E.¹

Affiliation:

1. Department of Mathematics, College of Science and Arts, Al‐Qurayyat Jouf University Sakakah Saudi Arabia

2. Department of Mathematics, College of Science Qassim University Buraydah Saudi Arabia

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

4. Department of Mathematics, Faculty of Education–Al‐Nadirah Ibb University Ibb Yemen

5. Department of Computational Mathematics, Science, and Engineering (CMSE), College of Engineering Michigan State University East Lansing Michigan USA

Abstract

In this study, we extend the approach used to study the oscillatory behavior of delay differential equations to neutral equations. In the noncanonical case, we establish a new one‐condition criterion that guarantees the oscillation of a class of second‐order Emden‐Fowler neutral differential equations. The symmetry between the positive and negative solutions of the studied equation plays an important role in the proof of our results. Finally, we present an example to compare our results with previous relevant results.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9705

Reference28 articles.

1. Oscillation criteria for second‐order Emden–Fowler delay differential equations with a sublinear neutral term