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zbMATH Open
Article . 2013
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Funkcialaj Ekvacioj
Article . 2012 . Peer-reviewed
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Journal of Applied Analysis
Article . 2013 . Peer-reviewed
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Property (A) and Oscillation of Third-Order Differential Equations with Mixed Arguments

Property (B) and oscillation of third-order differential equations with mixed arguments
Authors: Baculíková, B.; Džurina, J.;

Property (A) and Oscillation of Third-Order Differential Equations with Mixed Arguments

Abstract

Summary: We present sufficient conditions for property (B) and the oscillation of the third-order nonlinear functional differential equation with mixed arguments \[ [a(t)[x'(t)]^\gamma]'' = q(t)f(x[\tau(t)]) + p(t)h(x[\sigma(t)]), \] where \(\int^\infty a^{-1/\gamma}(s)\,\text{d}s = \infty\). We deduce properties of the studied equations by establishing new comparison theorems so that property (B) and the oscillation are resulting from the oscillation of suitable first-order equations.

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Keywords

Oscillation, Asymptotic theory of functional-differential equations, nonoscillation, Third-order functional differential equations, Oscillation theory of functional-differential equations, Comparison theorem, comparison theorem, oscillation, third-order 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!
7
Average
Top 10%
Top 10%
gold