Opuscula Mathematica
Opuscula Math. 43, no. 3 (2023), 455-467

New oscillation constraints for even-order delay differential equations

Osama Moaaz
Mona Anis
Ahmed A. El-Deeb
Ahmed M. Elshenhab
Abstract. The purpose of this paper is to study the oscillatory properties of solutions to a class of delay differential equations of even order. We focus on criteria that exclude decreasing positive solutions. As in this paper, this type of solution emerges when considering the noncanonical case of even equations. By finding a better estimate of the ratio between the Kneser solution with and without delay, we obtain new constraints that ensure that all solutions to the considered equation oscillate. The new findings improve some previous findings in the literature.
Keywords: delay differential equations, even-order, Kneser solutions, oscillation.
Mathematics Subject Classification: 34C10, 34K11.
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About the authors ▼
Osama Moaaz (corresponding author)
https://orcid.org/0000-0003-3850-1022
Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia; Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
Mona Anis
https://orcid.org/0000-0002-7288-9553
Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
Ahmed A. El-Deeb
https://orcid.org/0000-0001-9916-0239
Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt
Ahmed M. Elshenhab
https://orcid.org/0000-0003-3574-2939
School of Mathematics, Harbin Institute of Technology, Harbin 150001, China
About the article ▼
Communicated by Josef Diblík.
Received: 2022-06-01.
Revised: 2023-03-04.
Accepted: 2023-03-04.
Published online: 2023-05-17.
Cite this article as ▼
Osama Moaaz, Mona Anis, Ahmed A. El-Deeb, Ahmed M. Elshenhab, New oscillation constraints for even-order delay differential equations, Opuscula Math. 43, no. 3 (2023), 455-467, https://doi.org/10.7494/OpMath.2023.43.3.455.
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