No. 16 (192), issue 5Pages 23 - 31

THE INITIAL-FINISH VALUE PROBLEM FOR THE BOUSSINESQ - L'OVE EQUATION

A.A. Zamyshlyaeva, A.V. Yuzeeva
We investigate the initial-finish value problem for the Boussinesq - L'ove 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.
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Keywords
the Sobolev type equations, the phase space, the M,N-functions, the differential equations defined on graphs,the initial-finish value problem