A mixed problem for a Boussinesq hyperbolic equation with integral condition

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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.
Travail publiable, 14 pages

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