New Monotonic Properties of Positive Solutions of Higher-Order Delay Differential Equations and Their Applications

Author:

Muhib AliORCID,Moaaz OsamaORCID,Cesarano Clemente,Alsallami Shami A. M.ORCID,Abdel-Khalek SayedORCID,Elamin Abd Elmotaleb A. M. A.

Abstract

In this work, new criteria were established for testing the oscillatory behavior of solutions of a class of even-order delay differential equations. We follow an approach that depends on obtaining new monotonic properties for the decreasing positive solutions of the studied equation. Moreover, we use these properties to provide new oscillation criteria of an iterative nature. We provide an example to support the significance of the results and compare them with the related previous work.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference26 articles.

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2. Oscillation Theory of Delay Differential Equations with Applications;Gyori,1991

3. On the oscillation of higher-order half-linear delay differential equations

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5. Oscillatory behavior of the second order noncanonical differential equations

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