Sufficient criteria for oscillation of even-order neutral differential equations with distributed deviating arguments

Author:

Elsaeed Shaimaa1,Moaaz Osama12,Nisar Kottakkaran S.3,Zakarya Mohammed4,Elabbasy Elmetwally M.1

Affiliation:

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

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

3. Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia

4. Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

Abstract

<abstract><p>This paper presents novel criteria for investigating the oscillatory behavior of even-order neutral differential equations. By employing a comparative approach, we established the oscillation properties of the studied equation through comparisons with well-understood first-order equations with known oscillatory behavior. The findings of this study introduce fresh perspectives and enrich the existing body of oscillation criteria found in the literature. To illustrate the practical application of our results, we provide an illustrative example.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference40 articles.

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3. C. Huang, B. Liu, C. Qian, J. Cao, Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating $D$ operator, Math. Comput. Simul., 190 (2021), 1150–1163. https://doi.org/10.1016/j.matcom.2021.06.027

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