New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order-Reference-Cited by-同舟云学术

New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order

Published:2023-02-20 Issue:2 Volume:12 Page:219
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Nabih Amany¹²,Moaaz Osama¹³^ORCID,AlNemer Ghada⁴^ORCID,Elabbasy Elmetwally M.¹

Affiliation:

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

2. Department of Basic Sciences, Higher Future Institute of Engineering and Technology in Mansoura, Mansoura 35516, Egypt

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

4. Department of Mathematical Science, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 105862, Riyadh 11656, Saudi Arabia

Abstract

In this work, in the noncanonical case, we find new properties for a class of positive solutions of fourth-order differential equations. These properties allow us to obtain iterative criteria that exclude positive decreasing solutions, and we then establish sufficient conditions to guarantee that all solutions to the examined equation oscillate. The importance of applying the results to a special case of the investigated equation is demonstrated.

Funder

Princess Nourah bint Abdulrahman University

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/2/219/pdf

Reference25 articles.

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4. Oscillation of fourth-order delay differential equations;Zhang;J. Math. Scs.,2014

5. Gyri, I., and Ladas, G. (1991). Oscillation Theory of Delay Differential Equations, Oxford University Press.

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