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

Author name : Mohamed Elsayed Ahmad Hassan Nasr
Publication Date : 2024-03-15
Journal Name : Mathematical Methods in the Applied Sciences

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.

REFERENCES

Keywords

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

Publication Link

https://doi.org/10.1002/mma.9705

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