This article is cited in 6 papers

The initial-finish value problem for the Boussinesque–Löve equation defined on graph

A. A. Zamyshlyaeva^a, A. V. Yuzeeva<sup>b

a</sup> South Ural State University, 76, Lenin prospekt, Chelyabinsk, 454080
^b Magnitogorsk State University

Abstract: We investigate the initial-finish value problem for the Boussinesqe–Löve equation defined on graph 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