Boundary value problems with integral conditions for the linearized Korteweg--de~Vries equation
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 8 (2011), pp. 52-61
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The boundary value problems with integral conditions for the linearized Korteweg–de Vries equation are investigated. We prove the existence and uniqueness theorems in the class of regular solutions.
Keywords:
linearized Korteweg–de Vries equation, integral boundary conditions, regular solution, existence and uniqueness.
@article{VYURU_2011_8_a5,
author = {G. A. Lukina},
title = {Boundary value problems with integral conditions for the linearized {Korteweg--de~Vries} equation},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
pages = {52--61},
publisher = {mathdoc},
number = {8},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURU_2011_8_a5/}
}
TY - JOUR AU - G. A. Lukina TI - Boundary value problems with integral conditions for the linearized Korteweg--de~Vries equation JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie PY - 2011 SP - 52 EP - 61 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VYURU_2011_8_a5/ LA - ru ID - VYURU_2011_8_a5 ER -
%0 Journal Article %A G. A. Lukina %T Boundary value problems with integral conditions for the linearized Korteweg--de~Vries equation %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie %D 2011 %P 52-61 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURU_2011_8_a5/ %G ru %F VYURU_2011_8_a5
G. A. Lukina. Boundary value problems with integral conditions for the linearized Korteweg--de~Vries equation. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 8 (2011), pp. 52-61. http://geodesic.mathdoc.fr/item/VYURU_2011_8_a5/