Initial-boundary value problem for one-dimension hyperbolic equation with integral boundary condition
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 95-101
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In this paper, we study an initial-boundary value problem with nonlocal integral condition for a hyperbolic equation. The existence and uniqueness of a generalized solution of the problem is proved.
Keywords:
hyperbolic equation, nonlocal problem, integral conditions, generalized solution.
@article{VSGU_2011_8_a9,
author = {M. V. Strigun},
title = {Initial-boundary value problem for one-dimension hyperbolic equation with integral boundary condition},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {95--101},
publisher = {mathdoc},
number = {8},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2011_8_a9/}
}
TY - JOUR AU - M. V. Strigun TI - Initial-boundary value problem for one-dimension hyperbolic equation with integral boundary condition JO - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ PY - 2011 SP - 95 EP - 101 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VSGU_2011_8_a9/ LA - ru ID - VSGU_2011_8_a9 ER -
%0 Journal Article %A M. V. Strigun %T Initial-boundary value problem for one-dimension hyperbolic equation with integral boundary condition %J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ %D 2011 %P 95-101 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/VSGU_2011_8_a9/ %G ru %F VSGU_2011_8_a9
M. V. Strigun. Initial-boundary value problem for one-dimension hyperbolic equation with integral boundary condition. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 95-101. http://geodesic.mathdoc.fr/item/VSGU_2011_8_a9/