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New Monotonic Properties of Positive Solutions of Higher-Order Delay Differential Equations and Their Applications
Journal article   Open access  Peer reviewed

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

Ali Muhib, Osama Moaaz, Clemente Cesarano, Shami Alsallami, Sayed Abdel-Khalek and Abd Elmotaleb A M A Elamin
Mathematics (Basel), Vol.10(10), p.1786
23/05/2022

Abstract

Criteria Differential equations Mathematical analysis
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.
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https://doi.org/10.3390/math10101786View
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