Oscillation Results for Third-Order Semi-Canonical Quasi-Linear Delay Differential Equations-Reference-Cited by-同舟云学术

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

Published:2021-01-01 Issue:1 Volume:8 Page:228-238
ISSN:2353-0626
Container-title:Nonautonomous Dynamical Systems
language:en
Short-container-title:

Author:

Saranya K.¹,Piramanantham V.¹,Thandapani E.²

Affiliation:

1. Department of Mathematics , Bharathidasan University , Tiruchirappalli - 620024 , India

2. Ramanujan Institute for Advanced Study in Mathematics , University of Madras , Chennai - 600005 , India

Abstract

Abstract The main purpose of this paper is to study the oscillatory properties of solutions of the third-order quasi-linear delay differential equation ℒ y ( t ) + f ( t ) y β ( σ ( t ) ) = 0

{\cal L}y(t) + f(t){y^\beta }(\sigma (t)) = 0

where ℒy(t) = (b(t)(a(t)(y 0(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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/msds-2020-0135/pdf

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