А.Н. Морозов
66
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. Естественные науки. 2017. № 5
REFERENCES
[1] Crispin W.G. Handbook of stochastic methods for physics, chemistry, and the natural
sciences. Springer-Verlag, 1985. 442 p.
[2] Brauers Y.Y.Kh. Langevin equation of a fluid particle in wall-induced turbulence.
Theore-
tical and Mathematical Physics
, 2010, vol. 163, iss. 2, pp. 677–695.
DOI: 10.1007/s11232-010-0050-2
[3] Marchesoni F., Taloni A. Subdiffusion and long-time anticorrelations in a stochastic single
file.
Physical Review Letters
, 2006, vol. 97, iss. 10, pp. 106101-1−106101-4.
DOI: 10.1103/PhysRevLett.97.106101
[4] Pugachev V.S., Sinitsyn I.N. Stokhasticheskie differentsial'nye sistemy [Stochastic differen-
tial systems]. Moscow, Nauka Publ., 1990. 632 p.
[5] Bunkin N.F., Morozov A.N. Stokhasticheskie sistemy v fizike i tekhnike [Stochastic systems
in physics and technique]. Moscow, Bauman MSTU Publ., 2011. 366 p.
[6] Morozov A.N. Use of the theory of non-Markovian processes in the description of Brow-
nian motion.
Journal of Experimental and Theoretical Physics
, 1996, vol. 82, no. 4, pp. 703–708.
[7] Morozov A.N., Skripkin A.V. Application of integral transforms to a description of the
Brownian motion by a non-Markovian random process.
Russian Physics Journal
, 2009, vol. 52,
no. 2, pp. 184–195. DOI: 10.1007/s11182-009-9217-4
[8] Morozov A.N. Method of describing non-Markovian processes defined by linear integral
transformation.
Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki
[Herald of
the Bauman Moscow State Tech. Univ., Nat. Sci.], 2004, no. 3, pp. 47–56 (in Russ.).
[9] Horsthemke W., Lefever R. Noise-induced transitions. Springer, 1984. 322 р.
[10]
Prudnikov A.P., Brychkov Yu.A., Marichev O.I. Integraly i ryady. T. 1. Elementarnye
funktsii [Integrals and raws. Vol. 1. Elementary functions]. Moscow, Nauka Publ., 2003. 632 p.
[11] Morozov A.N. Neobratimye protsessy i brounovskoe dvizhenie [Irreversible processes
and Brownian motion]. Moscow, Bauman MSTU Publ., 1997. 332 p.
[12]
Jahnke E., Emde F., Lösch F. Tafeln höherer funktionen. Stuttgart, Teubner Verlagsgesell-
schaft. Preis, 1960. 318 p.
[13]
Bochkov G.N., Kuzovlev Yu.E. New aspects in 1/
f
noise studies
. Sov. Phys. Usp.,
1983,
vol. 26, pp. 829–844. DOI: 10.1070/PU1983v026n09ABEH004497
[14] Kuzovlev Yu.E. Why nature needs 1/
f
noise.
Phys. Usp.
, 2015, vol. 58, no. 7, pp. 719–729.
DOI: 10.3367/UFNe.0185.201507d.0773
Morozov A.N.
— Dr. Sc. (Phys.-Math.), Professor, Head of Physics Department, Bauman
Moscow State Technical University (2-ya Baumanskaya ul. 5, str. 1, Moscow, 105005 Russian
Federation).
Please cite this article in English as:
Morozov A.N. Method for Describing Non-Markovian Processes Defined by a System of
Linear Integral Equations.
Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki
[Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.], 2017, no. 5, pp. 57–66.
DOI: 10.18698/1812-3368-2017-5-57-66