The initial-finish value problem for the Boussinesq--L\"ove equation
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 5 (2010), pp. 23-31
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We investigate the initial-finish value problem for the Boussinesq–Löve equation by reducing it to the initial-finish value problem for the Sobolev type equation of the second order. We obtain theorems about the unique solvability of such problems.
Keywords:
the Sobolev type equations, the phase space, the $M,N$-functions, the differential equations defined on graphs,the initial-finish value problem.
@article{VYURU_2010_5_a3,
author = {A. A. Zamyshlyaeva and A. V. Yuzeeva},
title = {The initial-finish value problem for the {Boussinesq--L\"ove} equation},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
pages = {23--31},
publisher = {mathdoc},
number = {5},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURU_2010_5_a3/}
}
TY - JOUR AU - A. A. Zamyshlyaeva AU - A. V. Yuzeeva TI - The initial-finish value problem for the Boussinesq--L\"ove equation JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie PY - 2010 SP - 23 EP - 31 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VYURU_2010_5_a3/ LA - ru ID - VYURU_2010_5_a3 ER -
%0 Journal Article %A A. A. Zamyshlyaeva %A A. V. Yuzeeva %T The initial-finish value problem for the Boussinesq--L\"ove equation %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie %D 2010 %P 23-31 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURU_2010_5_a3/ %G ru %F VYURU_2010_5_a3
A. A. Zamyshlyaeva; A. V. Yuzeeva. The initial-finish value problem for the Boussinesq--L\"ove equation. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 5 (2010), pp. 23-31. http://geodesic.mathdoc.fr/item/VYURU_2010_5_a3/