Resource title

Noise Induced Oscillation in Solutions of Stochastic Delay Differential Equations

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Resource description

This paper studies the oscillatory properties of solutions of linear scalar stochastic delay differential equations with multiplicative noise. It is shown that such noise will induce an oscillation in the solution whenever there is negative feedback from the delay term. The zeros of the process are a countable set; the solution is differentiable at each zero, and the zeros are simple. The addition of such noise does not alter the positivity of solutions when there is positive feedback.

Resource author

John A. D. Appleby, Evelyn Buckwar

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Resource language

eng

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text/html

Resource resource URL

http://hdl.handle.net/10419/22224

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Adapt according to the presented license agreement and reference the original author.