Oscillation Results for Third-Order Quasi-Linear Emden-Fowler Differential Equations with Unbounded Neutral Coefficients-Reference-Cited by-同舟云学术

Oscillation Results for Third-Order Quasi-Linear Emden-Fowler Differential Equations with Unbounded Neutral Coefficients

Published:2021-12-01 Issue:3 Volume:80 Page:1-14
ISSN:1338-9750
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Chatzarakis George E.¹,Srinivasan Radhakrishnan²,Thandapani Ethiraju³

Affiliation:

1. 1 Department of Electrical and Electronic Engineering Educators , School of Pedagogical and Technological Education , Athens , GREECE

2. 2 Department of Mathematics , SRM Institute of Science and Technology , Ramapuram Campus, Chennai , INDIA

3. 3 Ramanujan Institute for Advanced Study in Mathematics, University of Madras , Chennai , INDIA

Abstract

Abstract Some new oscillation criteria are obtained for a class of thirdorder quasi-linear Emden-Fowler differential equations with unbounded neutral coefficients of the form

( a ( t ) ( z ″ ( t ) ) α ) ′ + f ( t ) y λ ( g ( t ) ) = 0 ,

\[(a(t){(z(t))^\alpha })' + f(t){y^\lambda }(g(t)) = 0,\]

where z(t) = y(t) + p(t)y(σ(t)) and α, λ are ratios of odd positive integers. The established results generalize, improve and complement to known results.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2021-0028

Reference21 articles.

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