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Neutral Operator and Neutral Differential Equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,011 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Zhibo Cheng; Jingli Ren; Stefan Siegmund;

doi: 10.1155/2011/969276

Neutral Operator and Neutral Differential Equation

Abstract

In this paper, we discuss the properties of the neutral operator (Ax)(t) = x(t) − cx(t − δ(t)), and by applying coincidence degree theory and fixed point index theory, we obtain sufficient conditions for the existence, multiplicity, and nonexistence of (positive) periodic solutions to two kinds of second‐order differential equations with the prescribed neutral operator.

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Keywords

QA1-939, Mathematics

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citations
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!
14
Average
Top 10%
Average
gold
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