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Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments

Authors: Ocalanlo, Ozkan; Kilic, Nurten; Sahin, Sermin; Ozkan, Umut Mutlu;

Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments

Abstract

Consider the first-order nonlinear retarded differential equation x'(t) + p(t) f (x(tau(t))) = 0, t >= t(0) where p(t) and tau(t) are function of positive real numbers such that tau(t) = to, and tau(t) = infinity. Under the assumption that the retarded argument is non-monotone, new oscillation results are given. An example illustrating the result is also given.

WOS: 000410453200004

Country
Turkey
Keywords

QA299.6-433, non-monotone argument, oscillatory solutions, nonoscillatory solutions, delay differential equation, Probabilities. Mathematical statistics, QA273-280, Analysis

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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!
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