Abstract
We present a new method for the derivation of moment equations for solutions of a system of nonlinear differential equations dependent on a finite-valued semi-Markov process. For systems of linear equations, we compare the results obtained with known ones.
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REFERENCES
V. S. Korolyuk and A. F. Turbin, Semi-Markov Processes and Their Applications [in Russian], Naukova Dumka, Kiev (1976).
V. I. Tikhonov and N. A. Mironov, Markov Processes [in Russian], Sovetskoe Radio, Moscow (1977).
K. G. Valeev, O. L. Karelova, and V. I. Gorelov, Optimization of Linear Systems with Random Coefficients [in Russian], Izd. Ros. Univ. Druzhby Narodov, Moscow (1996).
K. G. Valeev and O. L. Stryzhak, Method of Moment Equations [in Russian], Kiev (1985).
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Valeev, K.G., Dzhalladova, I.A. Derivation of Moment Equations for Solutions of a System of Differential Equations Dependent on a Semi-Markov Process. Ukrainian Mathematical Journal 54, 1906–1911 (2002). https://doi.org/10.1023/A:1024004810906
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DOI: https://doi.org/10.1023/A:1024004810906