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

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...

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Published in:Symmetry (Basel) 2019-12, Vol.11 (12), p.1434
Main Authors: Elabbasy, Elmetwally M., Cesarano, Clemente, Bazighifan, Omar, Moaaz, Osama
Format: Article
Language:English
Subjects:
Asymptotic properties
delay differential equations
Differential equations
higher-order
Inequality
oscillatory solutions
p-laplacian equations
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description 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.
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subjects Asymptotic properties
delay differential equations
Differential equations
higher-order
Inequality
oscillatory solutions
p-laplacian equations
title Asymptotic and Oscillatory Behavior of Solutions of a Class of Higher Order Differential Equation
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