On Initial Boundary Value Problem with Dirichlet Integral Conditions for a Hyperbolic Equation with the Bessel Operator
نویسنده
چکیده
We consider a mixed problem with Dirichlet and integral conditions for a second-order hyperbolic equation with the Bessel operator. The existence, uniqueness, and continuous dependence of a strongly generalized solution are proved. The proof is based on an a priori estimate established in weighted Sobolev spaces and on the density of the range of the operator corresponding to the abstract formulation of the considered problem.
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