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

Ali Muhib; Osama Moaaz; Clemente Cesarano; Shami A.M. Alsallami; Sayed Abdel-Khalek; Abd Elmotaleb A.M.A. Elamin

doi:10.3390/math10101786

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

Ali Muhib
, Osama Moaaz
, Clemente Cesarano
, Shami A.M. Alsallami
, Sayed Abdel-Khalek
, Abd Elmotaleb A.M.A. Elamin

Mathematics

Ibb University
Qassim University
Mansoura University
International Telematic University Uninettuno
Umm Al-Qura University
Taif University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Article number	1786
Journal	Mathematics
Volume	10
Issue number	10
DOIs	https://doi.org/10.3390/math10101786
State	Published - 1 May 2022

Keywords

delay differential equations
higher-order
oscillation criteria

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10.3390/math10101786

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title = "New Monotonic Properties of Positive Solutions of Higher-Order Delay Differential Equations and Their Applications",

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.",

keywords = "delay differential equations, higher-order, oscillation criteria",

author = "Ali Muhib and Osama Moaaz and Clemente Cesarano and Alsallami, \{Shami A.M.\} and Sayed Abdel-Khalek and Elamin, \{Abd Elmotaleb A.M.A.\}",

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AU - Muhib, Ali

AU - Moaaz, Osama

AU - Cesarano, Clemente

AU - Alsallami, Shami A.M.

AU - Abdel-Khalek, Sayed

AU - Elamin, Abd Elmotaleb A.M.A.

PY - 2022/5/1

Y1 - 2022/5/1

N2 - 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.

AB - 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.

KW - delay differential equations

KW - higher-order

KW - oscillation criteria

UR - https://www.scopus.com/pages/publications/85131577789

U2 - 10.3390/math10101786

DO - 10.3390/math10101786

M3 - Article

AN - SCOPUS:85131577789

SN - 2227-7390

VL - 10

JO - Mathematics

JF - Mathematics

IS - 10

M1 - 1786

ER -

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

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Keywords

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