Cybernetics and Systems Analysis

, Volume 54, Issue 2, pp 278–283 | Cite as

Stochastic m-Point Cauchy Problem for Parabolic Equation with Semi-Wiener Perturbations

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Abstract

The authors consider the problem of the existence, with probability 1, of Green’s function of a stochastic m-point Cauchy problem for a higher-order parabolic equation with white noise perturbations taken with negative values only. Estimates are obtained in spaces of functions whose norm contains the mathematical expectation.

Keywords

m-point Cauchy problem existence with probability 1 Ito’s formula Green’s function parabolicity condition mathematical expectation 

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Yu. Fedkovych Chernivtsi National UniversityChernivtsiUkraine

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