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Mathematical expectation of the solution of a stochastic multiplicatively perturbed system of differential equations

We consider the Cauchy problem for a first-order linear inhomogeneous system of partial differential equations with random processes as coefficients. Explicit formulas for the mathematical expectation of the solution are obtained. Examples of systems with Gaussian and uniformly distributed random co...

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Hovedforfatter: L. Yu. Kabantsova
Format: Artigo
Sprog:Inglês
Udgivet: Peoples’ Friendship University of Russia (RUDN University) 2023-01-01
Serier:Современная математика: Фундаментальные направления
Fag:
first-order systems of partial differential equations with random coefficients
mathematical expectation
variational derivative
characteristic functional
Online adgang:https://journals.rudn.ru/CMFD/article/viewFile/35327/22361
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