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

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 equatio...

Full description

Saved in:
Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 47; no. 4; pp. 1794 - 1806
Main Authors Abouelregal, A. E., Moaaz, O., Muhib, A., Abouhawwash, M., Khalil, K. M., Nasr, M. E.
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 15.03.2024
Subjects
Differential equations
Emden–Fowler differential equation
Mathematical analysis
neutral differential equations
noncanonical differential equation
oscillation
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:Funding information
This work was funded by the Deanship of Scientific Research at Jouf University under grand number (DSR2022‐RG‐0137).
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9705