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