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Open AccessFeature PaperArticle

New Oscillation Results for Third-Order Half-Linear Neutral Differential Equations

1
Department of Mathematics, SRM Easwari Engineering College, Ramapuram, Chennai, Tamil Nadu 600 089, India
2
Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403-2598, USA
3
Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, Tamil Nadu 600 005, India
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(3), 325; https://doi.org/10.3390/math8030325
Received: 29 January 2020 / Revised: 20 February 2020 / Accepted: 26 February 2020 / Published: 2 March 2020
(This article belongs to the Special Issue Oscillation Theory for Differential Equations)
The main purpose of this paper is to obtain criteria for the oscillation of all solutions of a third-order half-linear neutral differential equation. The main result in this paper is an oscillation theorem obtained by comparing the equation under investigation to two first order linear delay differential equations. An additional result is obtained by using a Riccati transformation technique. Examples are provided to show the importance of the main results. View Full-Text
Keywords: third-order; neutral; oscillation; delay differential equation third-order; neutral; oscillation; delay differential equation
MDPI and ACS Style

Vidhyaa, K.S.; Graef, J.R.; Thandapani, E. New Oscillation Results for Third-Order Half-Linear Neutral Differential Equations. Mathematics 2020, 8, 325. https://doi.org/10.3390/math8030325

AMA Style

Vidhyaa KS, Graef JR, Thandapani E. New Oscillation Results for Third-Order Half-Linear Neutral Differential Equations. Mathematics. 2020; 8(3):325. https://doi.org/10.3390/math8030325

Chicago/Turabian Style

Vidhyaa, K. S.; Graef, John R.; Thandapani, E. 2020. "New Oscillation Results for Third-Order Half-Linear Neutral Differential Equations" Mathematics 8, no. 3: 325. https://doi.org/10.3390/math8030325

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