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New Results for Oscillatory Behavior of Fourth-Order Differential Equations
Journal article   Open access  Peer reviewed

New Results for Oscillatory Behavior of Fourth-Order Differential Equations

Rami Ahmad El-Nabulsi, Osama Moaaz and Omar Bazighifan
Symmetry (Basel), Vol.12(1), p.136
01/01/2020

Abstract

Multidisciplinary Sciences Science & Technology Science & Technology - Other Topics
Our aim in the present paper is to employ the Riccatti transformation which differs from those reported in some literature and comparison principles with the second-order differential equations, to establish some new conditions for the oscillation of all solutions of fourth-order differential equations. Moreover, we establish some new criterion for oscillation by using an integral averages condition of Philos-type, also Hille and Nehari-type. Some examples are provided to illustrate the main results.
url
https://doi.org/10.3390/sym12010136View
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