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Oscillation and Non-oscillation in Solutions of Nonlinear Stochastic Delay Differential Equations

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Oscillation and Non-oscillation in Solutions of Nonlinear Stochastic Delay Differential Equations
2.	Creator	Author's name, affiliation, country	John A. D. Appleby; Dublin City University
2.	Creator	Author's name, affiliation, country	Conall Kelly; Dublin City University, Dublin, Ireland
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)
4.	Description	Abstract	This paper studies the oscillation and nonoscillation of solutions of a nonlinear stochastic delay differential equation, where the noise perturbation depends on the current state, and the drift depends on a delayed argument. When the restoring force towards equilibrium is relatively strong, all solutions oscillate, almost surely. However, if the restoring force is superlinear, positive solutions exist with positive probability, and for suitably chosen initial conditions, the probability of positive solutions can be made arbitrarily close to unity.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2004-10-06
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1115
10.	Identifier	Digital Object Identifier	10.1214/ECP.v9-1115
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 9
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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