Oscillation Criteria for Third-Order Emden–Fowler Differential Equations with Unbounded Neutral Coefficients

New sufficient conditions for the oscillation of all solutions to a class of third-order Emden–Fowler differential equations with unbounded neutral coefficients are established. The criteria obtained essentially improve related results in the literature. In particular, as opposed to known results, n...

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Main Authors: George E. Chatzarakis, Said R. Grace, Irena Jadlovská, Tongxing Li, Ercan Tunç
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/5691758
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author George E. Chatzarakis
Said R. Grace
Irena Jadlovská
Tongxing Li
Ercan Tunç
author_facet George E. Chatzarakis
Said R. Grace
Irena Jadlovská
Tongxing Li
Ercan Tunç
author_sort George E. Chatzarakis
collection DOAJ
description New sufficient conditions for the oscillation of all solutions to a class of third-order Emden–Fowler differential equations with unbounded neutral coefficients are established. The criteria obtained essentially improve related results in the literature. In particular, as opposed to known results, new criteria can distinguish solutions of third-order differential equations with different behaviors. Examples are also provided to illustrate the results.
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institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2019-01-01
publisher Wiley
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series Complexity
spelling doaj-art-df27e54395e244c8ab606676095d1d462025-02-03T01:30:38ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/56917585691758Oscillation Criteria for Third-Order Emden–Fowler Differential Equations with Unbounded Neutral CoefficientsGeorge E. Chatzarakis0Said R. Grace1Irena Jadlovská2Tongxing Li3Ercan Tunç4Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), 14121 N. Heraklio, Athens, GreeceDepartment of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, EgyptDepartment of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, B. Němcovej 32, 042 00, Košice, SlovakiaSchool of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, ChinaDepartment of Mathematics, Faculty of Arts and Sciences, Gaziosmanpasa University, 60240 Tokat, TurkeyNew sufficient conditions for the oscillation of all solutions to a class of third-order Emden–Fowler differential equations with unbounded neutral coefficients are established. The criteria obtained essentially improve related results in the literature. In particular, as opposed to known results, new criteria can distinguish solutions of third-order differential equations with different behaviors. Examples are also provided to illustrate the results.http://dx.doi.org/10.1155/2019/5691758
spellingShingle George E. Chatzarakis
Said R. Grace
Irena Jadlovská
Tongxing Li
Ercan Tunç
Oscillation Criteria for Third-Order Emden–Fowler Differential Equations with Unbounded Neutral Coefficients
Complexity
title Oscillation Criteria for Third-Order Emden–Fowler Differential Equations with Unbounded Neutral Coefficients
title_full Oscillation Criteria for Third-Order Emden–Fowler Differential Equations with Unbounded Neutral Coefficients
title_fullStr Oscillation Criteria for Third-Order Emden–Fowler Differential Equations with Unbounded Neutral Coefficients
title_full_unstemmed Oscillation Criteria for Third-Order Emden–Fowler Differential Equations with Unbounded Neutral Coefficients
title_short Oscillation Criteria for Third-Order Emden–Fowler Differential Equations with Unbounded Neutral Coefficients
title_sort oscillation criteria for third order emden fowler differential equations with unbounded neutral coefficients
url http://dx.doi.org/10.1155/2019/5691758
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