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Research Article | Open Access

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

Fahd Masood1,2, Osama Moaaz1,3, Shyam Sundar Santra4,5( ), U. Fernandez-Gamiz6, Hamdy A. El-Metwally1
Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
Department of mathematics, Faculty of Education and science, University of Saba Region, Marib, Yemen
Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
Department of Mathematics, JIS College of Engineering, Kalyani, Nadia, West Bengal 741235, India
Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies (UPES), Dehradun, Uttarakhand 248007, India
Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Vitoria-Gasteiz, Spain
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Abstract

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, N a . As an extension of the approach taken in [1], we establish a new criterion that guarantees that N a = ∅. Then, we create a new oscillation criterion.

Keywords

oscillatory behaviornonoscillatory behaviordelay differential equationfourth order
CLC number: 34C10, 34K11

References

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AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 16291-16307
DOI: 10.3934/math.2023834

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Cite this article:
Masood F, Moaaz O, Santra SS, et al. Oscillation theorems for fourth-order quasi-linear delay differential equations. AIMS Mathematics, 2023, 8(7): 16291-16307. https://doi.org/10.3934/math.2023834

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Received: 14 December 2022
Revised: 12 March 2023
Accepted: 20 March 2023
Published: 15 July 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)