Systems of differential equations modeling non-Markov processes
Archivum mathematicum, Tome 59 (2023) no. 1, pp. 21-29
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The work deals with non-Markov processes and the construction of systems of differential equations with delay that describe the probability vectors of such processes. The generating stochastic operator and properties of stochastic operators are used to construct systems that define non-Markov processes.
DOI :
10.5817/AM2023-1-21
Classification :
34A37, 34F05, 34K50
Keywords: non-Markov process; dynamical system with delay; stochastic (generating) operator
Keywords: non-Markov process; dynamical system with delay; stochastic (generating) operator
@article{10_5817_AM2023_1_21,
author = {Dzhalladova, Irada and R\r{u}\v{z}i\v{c}kov\'a, Miroslava},
title = {Systems of differential equations modeling {non-Markov} processes},
journal = {Archivum mathematicum},
pages = {21--29},
publisher = {mathdoc},
volume = {59},
number = {1},
year = {2023},
doi = {10.5817/AM2023-1-21},
mrnumber = {4563013},
zbl = {07675571},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2023-1-21/}
}
TY - JOUR AU - Dzhalladova, Irada AU - Růžičková, Miroslava TI - Systems of differential equations modeling non-Markov processes JO - Archivum mathematicum PY - 2023 SP - 21 EP - 29 VL - 59 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2023-1-21/ DO - 10.5817/AM2023-1-21 LA - en ID - 10_5817_AM2023_1_21 ER -
%0 Journal Article %A Dzhalladova, Irada %A Růžičková, Miroslava %T Systems of differential equations modeling non-Markov processes %J Archivum mathematicum %D 2023 %P 21-29 %V 59 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5817/AM2023-1-21/ %R 10.5817/AM2023-1-21 %G en %F 10_5817_AM2023_1_21
Dzhalladova, Irada; Růžičková, Miroslava. Systems of differential equations modeling non-Markov processes. Archivum mathematicum, Tome 59 (2023) no. 1, pp. 21-29. doi: 10.5817/AM2023-1-21
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