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

K. S. Vidhyaa, John R. Graef and E. Thandapani
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K. S. Vidhyaa: Department of Mathematics, SRM Easwari Engineering College, Ramapuram, Chennai, Tamil Nadu 600 089, India
John R. Graef: Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403-2598, USA
E. Thandapani: Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, Tamil Nadu 600 005, India

Mathematics, 2020, vol. 8, issue 3, 1-9

Abstract: 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.

Keywords: third-order; neutral; oscillation; delay differential equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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