Oscillation theorems for fourth-order quasi-linear delay differential equations-Reference-Cited by-同舟云学术

Oscillation theorems for fourth-order quasi-linear delay differential equations

Published:2023 Issue:7 Volume:8 Page:16291-16307
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Masood Fahd¹²,Moaaz Osama¹³,Santra Shyam Sundar⁴⁵,Fernandez-Gamiz U.⁶,El-Metwally Hamdy A.¹

Affiliation:

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

2. Department of mathematics, Faculty of Education and science, University of Saba Region, Marib, Yemen

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

4. Department of Mathematics, JIS College of Engineering, Kalyani, Nadia, West Bengal 741235, India

5. Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies (UPES), Dehradun, Uttarakhand 248007, India

6. Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Vitoria-Gasteiz, Spain

Abstract

<abstract><p>In this paper, we deal with the asymptotic and oscillatory behavior of quasi-linear delay differential equations of fourth order. We first find new properties for a class of positive solutions of the studied equation, $ \mathcal{N}_{a} $. As an extension of the approach taken in <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup>, we establish a new criterion that guarantees that $ \mathcal{N}_{a} = \emptyset $. Then, we create a new oscillation criterion.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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