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Open AccessArticle

Asymptotic and Oscillatory Behavior of Solutions of a Class of Higher Order Differential Equation

1
Department of Mathematics, Faculty of Science, MansouraUniversity, Mansoura 35516, Egypt
2
Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
3
Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2019, 11(12), 1434; https://doi.org/10.3390/sym11121434
Received: 20 October 2019 / Revised: 9 November 2019 / Accepted: 18 November 2019 / Published: 21 November 2019
(This article belongs to the Special Issue Ordinary and Partial Differential Equations: Theory and Applications)
The objective of this paper is to study asymptotic behavior of a class of higher-order delay differential equations with a p-Laplacian like operator. Symmetry ideas are often invisible in these studies, but they help us decide the right way to study them, and show us the correct direction for future developments. New oscillation criteria are obtained by employing a refinement of the generalized Riccati transformations and comparison principles. This new theorem complements and improves a number of results reported in the literature. Some examples are provided to illustrate the main results. View Full-Text
Keywords: oscillatory solutions; higher-order; delay differential equations; p-Laplacian equations oscillatory solutions; higher-order; delay differential equations; p-Laplacian equations
MDPI and ACS Style

Elabbasy, E.M.; Cesarano, C.; Bazighifan, O.; Moaaz, O. Asymptotic and Oscillatory Behavior of Solutions of a Class of Higher Order Differential Equation. Symmetry 2019, 11, 1434.

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