Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations

The main purpose of this paper is to study the oscillatory properties of solutions of the third-order quasi-linear delay differential equation ℒy(t)+f(t)yβ(σ(t))=0{\cal L}y(t) + f(t){y^\beta }(\sigma (t)) = 0 where ℒy(t) = (b(t)(a(t)(y0(t)) )0)0 is a semi-canonical differential operator. The main id...

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Autores principales:	Saranya K., Piramanantham V., Thandapani E.
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	semi- canonical third-order delay differential equations oscillation 34c10 34k11 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/11d05cd83e444c2980c8870cdf52e242
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id	oai:doaj.org-article:11d05cd83e444c2980c8870cdf52e242
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spelling	oai:doaj.org-article:11d05cd83e444c2980c8870cdf52e2422021-12-05T14:10:56ZOscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations2353-062610.1515/msds-2020-0135https://doaj.org/article/11d05cd83e444c2980c8870cdf52e2422021-11-01T00:00:00Zhttps://doi.org/10.1515/msds-2020-0135https://doaj.org/toc/2353-0626The main purpose of this paper is to study the oscillatory properties of solutions of the third-order quasi-linear delay differential equation ℒy(t)+f(t)yβ(σ(t))=0{\cal L}y(t) + f(t){y^\beta }(\sigma (t)) = 0 where ℒy(t) = (b(t)(a(t)(y0(t)) )0)0 is a semi-canonical differential operator. The main idea is to transform the semi-canonical operator into canonical form and then obtain new oscillation results for the studied equation. Examples are provided to illustrate the importance of the main results.Saranya K.Piramanantham V.Thandapani E.De Gruyterarticlesemi- canonicalthird-orderdelay differential equationsoscillation34c1034k11MathematicsQA1-939ENNonautonomous Dynamical Systems, Vol 8, Iss 1, Pp 228-238 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	semi- canonical third-order delay differential equations oscillation 34c10 34k11 Mathematics QA1-939
spellingShingle	semi- canonical third-order delay differential equations oscillation 34c10 34k11 Mathematics QA1-939 Saranya K. Piramanantham V. Thandapani E. Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations
description	The main purpose of this paper is to study the oscillatory properties of solutions of the third-order quasi-linear delay differential equation ℒy(t)+f(t)yβ(σ(t))=0{\cal L}y(t) + f(t){y^\beta }(\sigma (t)) = 0 where ℒy(t) = (b(t)(a(t)(y0(t)) )0)0 is a semi-canonical differential operator. The main idea is to transform the semi-canonical operator into canonical form and then obtain new oscillation results for the studied equation. Examples are provided to illustrate the importance of the main results.
format	article
author	Saranya K. Piramanantham V. Thandapani E.
author_facet	Saranya K. Piramanantham V. Thandapani E.
author_sort	Saranya K.
title	Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations
title_short	Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations
title_full	Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations
title_fullStr	Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations
title_full_unstemmed	Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations
title_sort	oscillation results for third-order semi-canonical quasi-linear delay differential equations
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/11d05cd83e444c2980c8870cdf52e242
work_keys_str_mv	AT saranyak oscillationresultsforthirdordersemicanonicalquasilineardelaydifferentialequations AT piramananthamv oscillationresultsforthirdordersemicanonicalquasilineardelaydifferentialequations AT thandapanie oscillationresultsforthirdordersemicanonicalquasilineardelaydifferentialequations
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Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations

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