Noncanonical Emden–Fowler neutral differential equations: New criteria for oscillation

A. E. Abouelregal; O. Moaaz; A. Muhib; M. Abouhawwash; K. M. Khalil; M. E. Nasr

doi:10.1002/mma.9705

Noncanonical Emden–Fowler neutral differential equations: New criteria for oscillation

A. E. Abouelregal
, O. Moaaz^*
, A. Muhib
, M. Abouhawwash
, K. M. Khalil
, M. E. Nasr

^*Corresponding author for this work

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

Abstract

In this study, we extend the approach used to study the oscillatory behavior of delay differential equations to neutral equations. In the noncanonical case, we establish a new one-condition criterion that guarantees the oscillation of a class of second-order Emden-Fowler neutral differential equations. The symmetry between the positive and negative solutions of the studied equation plays an important role in the proof of our results. Finally, we present an example to compare our results with previous relevant results.

Original language	English
Pages (from-to)	1794-1806
Number of pages	13
Journal	Mathematical Methods in the Applied Sciences
Volume	47
Issue number	4
DOIs	https://doi.org/10.1002/mma.9705
State	Published - 15 Mar 2024
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023 John Wiley & Sons, Ltd.

Keywords

Emden–Fowler differential equation
neutral differential equations
noncanonical differential equation
oscillation

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.9705

Cite this

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title = "Noncanonical Emden–Fowler neutral differential equations: New criteria for oscillation",

abstract = "In this study, we extend the approach used to study the oscillatory behavior of delay differential equations to neutral equations. In the noncanonical case, we establish a new one-condition criterion that guarantees the oscillation of a class of second-order Emden-Fowler neutral differential equations. The symmetry between the positive and negative solutions of the studied equation plays an important role in the proof of our results. Finally, we present an example to compare our results with previous relevant results.",

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T1 - Noncanonical Emden–Fowler neutral differential equations

T2 - New criteria for oscillation

AU - Abouelregal, A. E.

AU - Moaaz, O.

AU - Muhib, A.

AU - Abouhawwash, M.

AU - Khalil, K. M.

AU - Nasr, M. E.

PY - 2024/3/15

Y1 - 2024/3/15

N2 - In this study, we extend the approach used to study the oscillatory behavior of delay differential equations to neutral equations. In the noncanonical case, we establish a new one-condition criterion that guarantees the oscillation of a class of second-order Emden-Fowler neutral differential equations. The symmetry between the positive and negative solutions of the studied equation plays an important role in the proof of our results. Finally, we present an example to compare our results with previous relevant results.

AB - In this study, we extend the approach used to study the oscillatory behavior of delay differential equations to neutral equations. In the noncanonical case, we establish a new one-condition criterion that guarantees the oscillation of a class of second-order Emden-Fowler neutral differential equations. The symmetry between the positive and negative solutions of the studied equation plays an important role in the proof of our results. Finally, we present an example to compare our results with previous relevant results.

KW - Emden–Fowler differential equation

KW - neutral differential equations

KW - noncanonical differential equation

KW - oscillation

UR - https://www.scopus.com/pages/publications/85173482156

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DO - 10.1002/mma.9705

M3 - Article

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 4

ER -

Noncanonical Emden–Fowler neutral differential equations: New criteria for oscillation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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