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.
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     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/}
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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/