Browsing by Author "Moaaz, O."

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Citation - Scopus: 8
First-Order Impulsive Differential Systems: Sufficient and Necessary Conditions for Oscillatory or Asymptotic Behavior
(Springer Science and Business Media Deutschland GmbH, 2021) Baleanu, D.; Khedher, K.M.; Moaaz, O.; Santra, S.S.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, we study the oscillatory and asymptotic behavior of a class of first-order neutral delay impulsive differential systems and establish some new sufficient conditions for oscillation and sufficient and necessary conditions for the asymptotic behavior of the same impulsive differential system. To prove the necessary part of the theorem for asymptotic behavior, we use the Banach fixed point theorem and the Knaster–Tarski fixed point theorem. In the conclusion section, we mention the future scope of this study. Finally, two examples are provided to show the defectiveness and feasibility of the main results. © 2021, The Author(s).
Citation - Scopus: 40
More Effective Criteria for Oscillation of Second-Order Differential Equations With Neutral Arguments
(MDPI AG, 2020) Anis, M.; Baleanu, D.; Muhib, A.; Moaaz, O.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The motivation for this paper is to create new criteria for oscillation of solutions of second-order nonlinear neutral differential equations. In more than one respect, our results improve several related ones in the literature. As proof of the effectiveness of the new criteria, we offer more than one practical example. © 2020 by the authors.
Citation - Scopus: 29
New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations With Odd-Order
(MDPI AG, 2020) Muhib, A.; Moaaz, O.; Baleanu, D.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this is an improvement of the relevant results. The efficiency of the obtained criteria is illustrated via example. © 2020 by the authors.
Citation - Scopus: 7
Odd-Order Differential Equations With Deviating Arguments: Asymptomatic Behavior and Oscillation
(American Institute of Mathematical Sciences, 2022) Muhib, A.; Dassios, I.; Baleanu, D.; Santra, S.S.; Moaaz, O.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
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. © 2022 the Author(s), licensee AIMS Press.
Citation - Scopus: 1
Simplified and Improved Criteria for Oscillation of Delay Differential Equations of Fourth Order
(Springer Science and Business Media Deutschland GmbH, 2021) Muhib, A.; Baleanu, D.; Alharbi, W.; Mahmoud, E.E.; Moaaz, O.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
An interesting point in studying the oscillatory behavior of solutions of delay differential equations is the abbreviation of the conditions that ensure the oscillation of all solutions, especially when studying the noncanonical case. Therefore, this study aims to reduce the oscillation conditions of the fourth-order delay differential equations with a noncanonical operator. Moreover, the approach used gives more accurate results when applied to some special cases, as we explained in the examples. © 2021, The Author(s).
Citation - Scopus: 9
Third-Order Neutral Differential Equations of the Mixed Type: Oscillatory and Asymptotic Behavior
(American Institute of Mathematical Sciences, 2022) Qaraad, B.; Moaaz, O.; Baleanu, D.; Santra, S.S.; Ali, R.; Elabbasy, E.M.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this work, by using both the comparison technique with first-order differential inequalities and the Riccati transformation, we extend this development to a class of third-order neutral differential equations of the mixed type. We present new criteria for oscillation of all solutions, which improve and extend some existing ones in the literature. In addition, we provide an example to illustrate our results. © 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)