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Some New Oscillation Criteria for Second Order Neutral Differential Equations with Delayed Arguments

1
Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
2
Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2019, 7(7), 619; https://doi.org/10.3390/math7070619
Received: 10 June 2019 / Revised: 7 July 2019 / Accepted: 10 July 2019 / Published: 11 July 2019
(This article belongs to the Special Issue Multivariate Approximation for solving ODE and PDE)
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PDF [254 KB, uploaded 18 July 2019]

Abstract

In this paper, we study the oscillation of second-order neutral differential equations with delayed arguments. Some new oscillatory criteria are obtained by a Riccati transformation. To illustrate the importance of the results, one example is also given. View Full-Text
Keywords: oscillatory solutions; nonoscillatory solutions; second-order; neutral differential equations oscillatory solutions; nonoscillatory solutions; second-order; neutral differential equations
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Bazighifan, O.; Cesarano, C. Some New Oscillation Criteria for Second Order Neutral Differential Equations with Delayed Arguments. Mathematics 2019, 7, 619.

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