Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation

A. Muhib; I. Dassios; D. Baleanu; S. S. Santra; O. Moaaz; A. Muhib; I. Dassios; D. Baleanu; S. S. Santra; O. Moaaz

doi:10.3934/mbe.2022065

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 2: 1411-1425. doi: 10.3934/mbe.2022065

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Research article

Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation

1.
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
2.
Department of Mathematics, Faculty of Education – Al-Nadirah, Ibb University, Ibb, Yemen
3.
AMPSAS, University College Dublin, D4 Dublin, Ireland
4.
Department of Mathematics and Computer Science, Faculty of Arts and Sciences, Çankaya University Ankara, 06790 Etimesgut, Turkey
5.
Instiute of Space Sciences, Magurele-Bucharest, 077125 Magurele, Romania; Department of Medical Research, China
6.
Medical University Hospital, China Medical University, Taichung, 40402, Taiwan, China
7.
Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal - 741235, India
8.
Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy

Received: 12 July 2021 Accepted: 10 October 2021 Published: 06 December 2021

Despite the growing interest in studying the oscillatory behavior of delay differential equations of even-order, odd-order equations have received less attention. In this work, we are interested in studying the oscillatory behavior of two classes of odd-order equations with deviating arguments. We get more than one criterion to check the oscillation in different methods. Our results are an extension and complement to some results published in the literature.
- differential equation with deviating argument,
- odd-order,
- neutral,
- oscillation,
- asymptotic behavior
Citation: A. Muhib, I. Dassios, D. Baleanu, S. S. Santra, O. Moaaz. Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation[J]. Mathematical Biosciences and Engineering, 2022, 19(2): 1411-1425. doi: 10.3934/mbe.2022065

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Abstract

Despite the growing interest in studying the oscillatory behavior of delay differential equations of even-order, odd-order equations have received less attention. In this work, we are interested in studying the oscillatory behavior of two classes of odd-order equations with deviating arguments. We get more than one criterion to check the oscillation in different methods. Our results are an extension and complement to some results published in the literature.

References

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