On the oscillation of fourth-order canonical differential equation with several delays-Reference-Cited by-同舟云学术

On the oscillation of fourth-order canonical differential equation with several delays

Published:2024 Issue:8 Volume:9 Page:19997-20013
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Alomair Mohammed Ahmed¹,Muhib Ali²³

Affiliation:

1. Department of Quantitative Methods, School of Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia

2. Department of Mathematics, Faculty of Applied and Educational Sciences, Al-Nadera, Ibb University, Ibb, Yemen

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

Abstract

<abstract><p>This study is concerned with investigating the oscillatory properties of a general class of neutral differential equations. Neutral equations are characterized by being rich in both practical and theoretical aspects. We obtain criteria that guarantee the oscillation of solutions to a fourth-order neutral differential equation with multiple delays. Considering the canonical case, we obtain some new relations and inequalities that help in obtaining improved criteria. We use the reduction method to relate the oscillation of the studied equation to a first-order equation. We apply the results to a special case. Through this application, we evaluated the efficiency of the new results in the oscillation test compared to previous results in the literature.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference27 articles.

1. A. Abdelnaser, O. Moaaz, C. Cesarano, S. Askar, E. M. Elabbasy, Oscillation test for second-order differential equations with several delays, Symmetry, 15 (2023), 452. https://doi.org/10.3390/sym15020452

2. R. P. Agarwal, M. Bohner, T. Li, C. Zhang, A new approach in the study of oscillatory behavior of even-order neutral delay differential equations, Appl. Math. Comput., 225 (2013), 787–794. https://doi.org/10.1016/j.amc.2013.09.037

3. R. P. Agarwal, M. Bohner, T. Li, C. Zhang, Oscillation of second-order differential equations with a sublinear neutral term, Carpathian J. Math., 30 (2014), 1–6. https://doi.org/10.37193/CJM.2014.01.01

4. R. P. Agarwal, S. R. Grace, D. O'Regan, Oscillation criteria for certain nth-order differential equations with deviating arguments, J. Math. Anal. Appl., 262 (2001), 601–622. https://doi.org/10.1006/jmaa.2001.7571

5. R. P. Agarwal, S. R. Grace, D. O'Regan, Oscillation theory for difference and functional differential equations, Springer Dordrecht, 2000. https://doi.org/10.1007/978-94-015-9401-1