Matematičeskie zametki, Tome 17 (1975) no. 1, pp. 79-89
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P. A. Andreianov. Stability of the solutions of the Cauchy problem for first-order quasilinear equations. Matematičeskie zametki, Tome 17 (1975) no. 1, pp. 79-89. http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a9/
@article{MZM_1975_17_1_a9,
author = {P. A. Andreianov},
title = {Stability of the solutions of the {Cauchy} problem for first-order quasilinear equations},
journal = {Matemati\v{c}eskie zametki},
pages = {79--89},
year = {1975},
volume = {17},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a9/}
}
TY - JOUR
AU - P. A. Andreianov
TI - Stability of the solutions of the Cauchy problem for first-order quasilinear equations
JO - Matematičeskie zametki
PY - 1975
SP - 79
EP - 89
VL - 17
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a9/
LA - ru
ID - MZM_1975_17_1_a9
ER -
%0 Journal Article
%A P. A. Andreianov
%T Stability of the solutions of the Cauchy problem for first-order quasilinear equations
%J Matematičeskie zametki
%D 1975
%P 79-89
%V 17
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a9/
%G ru
%F MZM_1975_17_1_a9
In this paper we establish estimates of the stability of the solutions of the Cauchy problem for the multidimensional quasilinear equation $u_t+(\varphi _i(u))_{x_i }=\psi(t,x,u)$ relative to variation of the function $\varphi_i(u)$,$\psi(t,x,u)$.
