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Open AccessFeature PaperArticle

Oscillatory Properties of Third-Order Neutral Delay Differential Equations with Noncanonical Operators

1
Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), 14121 Athens, Greece
2
Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Kosice, Letna 9, 04200 Kosice, Slovakia
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(12), 1177; https://doi.org/10.3390/math7121177
Received: 24 September 2019 / Revised: 18 November 2019 / Accepted: 19 November 2019 / Published: 3 December 2019
In the paper, we study the oscillatory and asymptotic properties of solutions to a class of third-order linear neutral delay differential equations with noncanonical operators. Via the application of comparison principles with associated first and second-order delay differential inequalities, we offer new criteria for the oscillation of all solutions to a given differential equation. Our technique essentially simplifies the process of investigation and reduces the number of conditions required in previously known results. The strength of the newly obtained results is illustrated on the Euler type equations. View Full-Text
Keywords: linear differential equation; delay; third-order; noncanonical operators; oscillation linear differential equation; delay; third-order; noncanonical operators; oscillation
MDPI and ACS Style

Chatzarakis, G.E.; Džurina, J.; Jadlovská, I. Oscillatory Properties of Third-Order Neutral Delay Differential Equations with Noncanonical Operators. Mathematics 2019, 7, 1177.

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