A mixed problem for a Boussinesq hyperbolic equation with integral condition

Mathematics – Functional Analysis

Scientific paper

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Travail publiable, 14 pages

Scientific paper

A hyperbolic problem wich combines a classical(Dirichlet) and a non-local
contraint is considered.The existence and uniqueness of strong solutions are
proved,we use a functionnal analysis method based on a priori estimate and on
the density of the range of the operator generated by the considered problem.

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