High-Order Nonlinear Functional Differential Equations: New Monotonic Properties and Their Applications-Reference-Cited by-同舟云学术

High-Order Nonlinear Functional Differential Equations: New Monotonic Properties and Their Applications

Published:2023-03-20 Issue:3 Volume:7 Page:271
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Alrashdi Hail S.¹,Moaaz Osama²³^ORCID,AlNemer Ghada⁴^ORCID,Elabbasy Elmetwally M.³

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia

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

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

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

Abstract

We provide streamlined criteria for evaluating the oscillatory behavior of solutions to a class of higher-order functional differential equations in the non-canonical case. We use a comparison approach with first-order equations that have standard oscillation criteria. Normally, in the non-canonical situation, the oscillation test requires three independent conditions, but we provide criteria with two-conditions without checking the additional conditions. Lastly, we give examples to highlight the significance of the findings.

Funder

Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/3/271/pdf

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