Oscillation of Neutral Differential Equations with Damping Terms

Ioannis Dassios (), Ali Muhib (), Sobhy A. A. El-Marouf and Sayed K. Elagan
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Ioannis Dassios: FRESLIPS, University College Dublin, D04 V1W8 Dublin, Ireland
Ali Muhib: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Sobhy A. A. El-Marouf: Department of Mathematics, Faculty of Science, Taibah University, Madinah 42353, Saudi Arabia
Sayed K. Elagan: Department of Mathematics and Computer Sciences, Faculty of Science, Menoufia University, Shebin Elkom 32511, Egypt

Mathematics, 2023, vol. 11, issue 2, 1-15

Abstract: Our interest in this paper is to study and develop oscillation conditions for solutions of a class of neutral differential equations with damping terms. New oscillation criteria were obtained by using Riccati transforms. The criteria we obtained improved and completed some of the criteria in previous studies mentioned in the literature. Examples are provided to illustrate the applicability of our results.

Keywords: neutral differential equations; fourth-order; damping terms (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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