Boundary value problems for a weakly loaded operator of a second-order hyperbolic equation in a cylindrical domain

2015

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DOI 10.1134/s0012266115120071
Data confidence 70 medium
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Abstract

By using methods of functional analysis, we prove the existence and uniqueness, in appropriate function spaces, of solutions of boundary value problems for a second-order linear hyperbolic equation weakly loaded by a differential operator. The order of the operator in the loaded term with respect to its derivatives is equal to 2.