Geodesic
Probabilistic approach to the ordinary differential equations
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 19, Tome 412 (2013), pp. 47-68 
A. N. Borodin. Probabilistic approach to the ordinary differential equations. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 19, Tome 412 (2013), pp. 47-68. http://geodesic.mathdoc.fr/item/ZNSL_2013_412_a2/
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     title = {Probabilistic approach to the ordinary differential equations},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_412_a2/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The paper deals with an original approach to derivation of probabilistic expressions for the solutions of ordinary differential equations.

[1] A. N. Kolmogorov, “Ob analiticheskikh metodakh v teorii veroyatnostei”, Uspekhi mat. nauk, 1938, no. 5, 5–41

[2] M. Kac, “On some connections between probability theory and differential and integral equations”, Proc. Second Berkley Symp. Math. Stat. Probab., 1951, 189–215 | MR | Zbl

[3] R. Z. Khasminskii, “Raspredelenie veroyatnostei dlya funktsionalov ot traektorii sluchainogo protsessa diffuzionnogo tipa”, Dokl. AN SSSR, 104 (1955), 22–25

[4] I. I. Gikhman, A. V. Skorokhod, Stokhasticheskie differentsialnye uravneniya, Naukova Dumka, Kiev, 1968 | MR | Zbl