ON A CLASS OF HYPERBOLIC EQUATION WITH AN INTEGRAL TWO-SPACE-VARIABLES CONDITION WITH THE BESSEL OPERATOR
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In this paper, we study a mixed problem with an integral two- space-variables condition for hyperbolic equation with the bessel operator. The existence and uniqueness of the solution in functional weighted Sobolev space are proved. The proof is based on a priori estimate "energy inequality" and the density of the range of the operator generated by the problem considered.
Abstract
In this paper, we study a mixed problem with an integral two- space-variables condition for hyperbolic equation with the bessel operator. The existence and uniqueness of the solution in functional weighted Sobolev space are proved. The proof is based on a priori estimate "energy inequality" and the density of the range of the operator generated by the problem considered.
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