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Abstract and Applied Analysis
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Oscillation of Half-Linear Differential Equations with Delay

Oscillation of half-linear differential equations with delay
Authors: Simona Fišnarová; Robert Mařík;

Oscillation of Half-Linear Differential Equations with Delay

Abstract

We study the half-linear delay differential equation , , We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria for an ordinary half-linear differential equation. The presented results extend and improve previous results of other authors. An extension to neutral equations is also provided.

Related Organizations
Keywords

Oscillation theory of functional-differential equations, a priori bound, QA1-939, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Mathematics, Neutral functional-differential equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
gold