This article is cited in 8 papers

The initial-finish value problem for the Boussinesq–Löve equation

A. A. Zamyshlyaeva, A. V. Yuzeeva

South Ural State University, Chelyabinsk

Abstract: 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.

UDC: 517.9

Received: 05.03.2010