@article{10_21136_CMJ_1967_100760,
author = {Ko\v{s}t\'al, Karel},
title = {Differential equations of stochastic processes which have derivative in quadratic mean},
journal = {Czechoslovak Mathematical Journal},
pages = {53--76},
year = {1967},
volume = {17},
number = {1},
doi = {10.21136/CMJ.1967.100760},
mrnumber = {0221578},
zbl = {0277.60048},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1967.100760/}
}
TY - JOUR AU - Koštál, Karel TI - Differential equations of stochastic processes which have derivative in quadratic mean JO - Czechoslovak Mathematical Journal PY - 1967 SP - 53 EP - 76 VL - 17 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1967.100760/ DO - 10.21136/CMJ.1967.100760 LA - en ID - 10_21136_CMJ_1967_100760 ER -
%0 Journal Article %A Koštál, Karel %T Differential equations of stochastic processes which have derivative in quadratic mean %J Czechoslovak Mathematical Journal %D 1967 %P 53-76 %V 17 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1967.100760/ %R 10.21136/CMJ.1967.100760 %G en %F 10_21136_CMJ_1967_100760
Koštál, Karel. Differential equations of stochastic processes which have derivative in quadratic mean. Czechoslovak Mathematical Journal, Tome 17 (1967) no. 1, pp. 53-76. doi: 10.21136/CMJ.1967.100760
[1] A. Blanc-Lapierre R. Fortet: Theorie des fonctions aléatoires. Paris 1953.
[2] M. Loève: Probability theory. Princeton I960.
[3] G. Dedebant J. Moyal P. Wehrlé: Sur les équations aux dérivées partielles que vérifient les fonctions de distribution d'un champ aléatoire. Comptes Rendus Ac. Sci. 210 (1940), 243-245. | MR
[4] A. N. Kolmogorov: Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung. Math. Annalen 104 (1931), 415-458. | DOI | MR | Zbl
[5] B. V. Gnedenko: Курс теории вероятностей. (Course in theory of probabilities.) Moscow 1961. | Zbl
[6] L. Truksa: Statistická dynamika I, II. (Statistical dynamics I, II.) Prague 1956, 1958.
[7] G. Dedebant J. Moyal P. Wehrlé: Sur l'équivalent hydrodynamique d'un corpuscule aléatoire. Application à l'établissement des équations aux valeurs probables d'un fluide turbulent. Comptes Rendus Ac. Sci. 210 (1940), 332-334. | MR
[8] J. E. Moyal: Stochastic processes and statistical physics. Journ. of the Roy. Stat. Soc. XI (1949), 150-210. | MR | Zbl
[9] K. Košťál: On the transformation of the Schrödinger wave equation into a system of equations of stochastic processes which have first and second mean square derivatives. Phys. Letters 9, 1 (1964), 26-29. | DOI | MR
[10] G. Dedebant P. Wehrlé: Mécanique aléatoire. Portugaliae Physica 1, 3 (1944), 95-150; 1, 4 (1945), 179-294.
[11] S. N. Bernstejn: Современное состояние теории вероятностей. (Contemporary state of theory of probabilities.) Moscow 1933.
[12] A. N. Kolmogorov: Zur Theorie der stetigen zufälligen Prozesse. Math. Annalen 108 (1933), 149-160. | DOI | MR | Zbl
Cité par Sources :