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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2017 Volume 132, Pages 95–100 (Mi into174)

This article is cited in 2 papers

Numerical and analytical methods of the study of stochastic systems with delay

I. E. Poloskov

Perm State National Research University

Abstract: This paper is a brief review of methods of qualitative and quantitative study of various classes of stochastic systems with aftereffect. We describe schemes of analysis of stochastic ordinary and partial differential and integrodifferential equations, which are also applicable for their deterministic analogs. These numerical and analytical schemes are implemented in the software package Mathematica and in the language Intel Fortran.

Keywords: stochastic dynamical system, delay, analysis, state vector, moment characteristic, numerical and analytical methods.

UDC: 519.217, 519.676

MSC: 34F05, 34K50, 60H35, 65C30


 English version:
Journal of Mathematical Sciences (New York), 2018, 230:5, 746–751

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