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 Tr. Inst. Mat., 2014, Volume 22, Number 1, Pages 107–114 (Mi timb212)

Evaluation of expectation of a functionals depending on the solution of linear stochastic equations

V. B. Malyutin

Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: The method for evaluation of expectation of a functionals depending on the solution of linear stochastic differential equations is proposed. This method is based on evaluation of the eigenvalues of a three-diagonal matrix using the Sturm sequences. It is considered the application of this method to evaluation of characteristics of Ising systems with random effect in the form of a random white noise process.

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Citation: V. B. Malyutin, “Evaluation of expectation of a functionals depending on the solution of linear stochastic equations”, Tr. Inst. Mat., 22:1 (2014), 107–114

Citation in format AMSBIB
\Bibitem{Mal14} \by V.~B.~Malyutin \paper Evaluation of expectation of a functionals depending on the solution of~linear stochastic equations \jour Tr. Inst. Mat. \yr 2014 \vol 22 \issue 1 \pages 107--114 \mathnet{http://mi.mathnet.ru/timb212}