Probabilistic approach to finding the asymptotic behavior of the solution of nonlinear difference equations
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1982), pp. 22-28
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We examine a result which is a transfer of a result due to Kolmogorov, Petrovsky and Piskunov about the limit speed of the wave for the diffusion equation to difference equations. We use a method of M. I. Freidlin in the following way. We derive a formula relating a solution of the equation to a stohastic process. Then the estimation is carried out using the limit properties of the process.
@article{VMUMM_1982_4_a5,
author = {A. V. Voitishek},
title = {Probabilistic approach to finding the asymptotic behavior of the solution of nonlinear difference equations},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {22--28},
publisher = {mathdoc},
number = {4},
year = {1982},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_4_a5/}
}
TY - JOUR AU - A. V. Voitishek TI - Probabilistic approach to finding the asymptotic behavior of the solution of nonlinear difference equations JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 1982 SP - 22 EP - 28 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_4_a5/ LA - ru ID - VMUMM_1982_4_a5 ER -
%0 Journal Article %A A. V. Voitishek %T Probabilistic approach to finding the asymptotic behavior of the solution of nonlinear difference equations %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 1982 %P 22-28 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_1982_4_a5/ %G ru %F VMUMM_1982_4_a5
A. V. Voitishek. Probabilistic approach to finding the asymptotic behavior of the solution of nonlinear difference equations. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1982), pp. 22-28. http://geodesic.mathdoc.fr/item/VMUMM_1982_4_a5/