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New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order
Journal article   Open access  Peer reviewed

New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order

Amany Nabih, Osama Moaaz, Ghada AlNemer and Elmetwally M. Elabbasy
Axioms, Vol.12(2), p.219
01/02/2023
DOI: https://doi.org/10.3390/axioms12020219

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this work, in the noncanonical case, we find new properties for a class of positive solutions of fourth-order differential equations. These properties allow us to obtain iterative criteria that exclude positive decreasing solutions, and we then establish sufficient conditions to guarantee that all solutions to the examined equation oscillate. The importance of applying the results to a special case of the investigated equation is demonstrated.
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https://doi.org/10.3390/axioms12020219View
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