Modeling of applied problems by stochastic systems and their analysis using the moment equations
Modeling of applied problems by stochastic systems and their analysis using the moment equations
Streszczenie
The paper deals with systems of linear differential equations with coefficients depending on the Markov process. Equations for particular density and the moment equations for given systems are derived and used in the investigation of solvability of initial problems and stability. Results are illustrated by examples. The paper deals with systems of linear differential equations with coefficients depending on the Markov process. Equations for particular density and the moment equations for given systems are derived and used in the investigation of solvability of initial problems and stability. Results are illustrated by examples.
Keywords
stochastic systems, Markov process, moment equations, solvability, stability, stochastic systems, Markov process, moment equations, solvability, stabilityDocument type
Peer reviewedDocument version
Final PDFSource
Advances in Difference Equations. 2013, vol. 2013, issue 1, p. 1-12.https://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2013-152