This article is cited in 1 paper

Mathematical modeling

Boundary value problems with integral conditions for the linearized Korteweg–de Vries equation

G. A. Lukina

Mirnyi Polytechnic Institute (Branch of the North-Eastern Federal University in Mirnyi)

Abstract: 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.

UDC: 517.946

Received: 02.02.2011

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