Higher-Order Delay Differential Equation with Distributed Deviating Arguments: Improving Monotonic Properties of Kneser Solutions-Reference-Cited by-同舟云学术

Higher-Order Delay Differential Equation with Distributed Deviating Arguments: Improving Monotonic Properties of Kneser Solutions

Published:2023-02-14 Issue:2 Volume:15 Page:502
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Elsaeed Shaimaa¹,Moaaz Osama²³^ORCID,AlNemer Ghada⁴^ORCID,Elabbasy Elmetwally M.³

Affiliation:

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

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

3. 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

This study aims to investigate the oscillatory behavior of the solutions of an even-order delay differential equation with distributed deviating arguments. We first study the monotonic properties of positive decreasing solutions or the so-called Kneser solutions. Then, by iterative deduction, we improve these properties, which enables us to apply them more than once. Finally, depending on the symmetry between the positive and negative solutions of the studied equation and by combining the new condition for the exclusion of Kneser solutions with some well-known results in the literature, we establish a new standard for the oscillation of the investigated equation.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/2/502/pdf

Reference25 articles.

1. Braun, M., and Golubitsky, M. (1983). Differential Equations and Their Applications, Springer.

2. Heinmets, F. (1969). Concept and Models of Biomathematics, Marcel Dekker.

3. Zachmanoglou, E.C., and Thoe, D.W. (1986). Introduction to Partial Differential Equations with Applications, Courier Corporation.

4. New oscillation criteria for nonlinear delay differential equations of fourth-order;Moaaz;Appl. Math. Comput.,2020

5. Neutral differential equations with noncanonical operator: Oscillation behavior of solutions;Elabbasy;AIMS Math.,2021