Národní úložiště šedé literatury Nalezeno 2 záznamů.  Hledání trvalo 0.00 vteřin. 
Stochastic ordinary differential equations
Bahník, Michal ; Kolářová, Edita (oponent) ; Franců, Jan (vedoucí práce)
This thesis deals with the issue of stochastic ordinary differential equations. After the summary of the theory of stochastic processes, namely the Brownian motion, the stochastic Itô's integral, differential and so called Itô's formula are introduced. Thereafter the solution of the initial value problem for the stochastic equation is defined and the theorem of its existence and uniqueness is stated. For the case of the linear equation the explicit formula for the solution is derived as well as the equations for its expected value and variance. The last part is the analysis of selected equations.
Stochastic ordinary differential equations
Bahník, Michal ; Kolářová, Edita (oponent) ; Franců, Jan (vedoucí práce)
This thesis deals with the issue of stochastic ordinary differential equations. After the summary of the theory of stochastic processes, namely the Brownian motion, the stochastic Itô's integral, differential and so called Itô's formula are introduced. Thereafter the solution of the initial value problem for the stochastic equation is defined and the theorem of its existence and uniqueness is stated. For the case of the linear equation the explicit formula for the solution is derived as well as the equations for its expected value and variance. The last part is the analysis of selected equations.

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