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

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 g...

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Main Authors: A. Muhib, I. Dassios, D. Baleanu, S. S. Santra, O. Moaaz
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2022065?viewType=HTML
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author A. Muhib
I. Dassios
D. Baleanu
S. S. Santra
O. Moaaz
author_facet A. Muhib
I. Dassios
D. Baleanu
S. S. Santra
O. Moaaz
author_sort A. Muhib
collection DOAJ
description 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.
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spelling doaj.art-449f9ad3d22d4620911715cf9389df892022-12-21T17:18:14ZengAIMS PressMathematical Biosciences and Engineering1551-00182022-01-011921411142510.3934/mbe.2022065Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillationA. Muhib 0I. Dassios1D. Baleanu2S. S. Santra3O. Moaaz41. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt 2. Department of Mathematics, Faculty of Education – Al-Nadirah, Ibb University, Ibb, Yemen3. AMPSAS, University College Dublin, D4 Dublin, Ireland4. 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, China7. Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal - 741235, India1. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt8. Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, ItalyDespite 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.https://www.aimspress.com/article/doi/10.3934/mbe.2022065?viewType=HTMLdifferential equation with deviating argumentodd-orderneutraloscillationasymptotic behavior
spellingShingle A. Muhib
I. Dassios
D. Baleanu
S. S. Santra
O. Moaaz
Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation
Mathematical Biosciences and Engineering
differential equation with deviating argument
odd-order
neutral
oscillation
asymptotic behavior
title Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation
title_full Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation
title_fullStr Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation
title_full_unstemmed Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation
title_short Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation
title_sort odd order differential equations with deviating arguments asymptomatic behavior and oscillation
topic differential equation with deviating argument
odd-order
neutral
oscillation
asymptotic behavior
url https://www.aimspress.com/article/doi/10.3934/mbe.2022065?viewType=HTML
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AT idassios oddorderdifferentialequationswithdeviatingargumentsasymptomaticbehaviorandoscillation
AT dbaleanu oddorderdifferentialequationswithdeviatingargumentsasymptomaticbehaviorandoscillation
AT sssantra oddorderdifferentialequationswithdeviatingargumentsasymptomaticbehaviorandoscillation
AT omoaaz oddorderdifferentialequationswithdeviatingargumentsasymptomaticbehaviorandoscillation