Article title: PROBLEM S5 FOR THE THIRD-ORDER HYPERBOLIC EGUATION IN A THREE-DIMENSIONAL SPACE

Article author: Rodionova Irina Nikolaevna, Sevastyanova Svetlana Alexandrovna

Number of pages: 8

Contact mail: s_sevastyanova@mail.ru

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Annotation:
The article presents a method for solving the boundary value for the complete equation of the thirdorder hyperbolic type with variable coefficients. The solution to the problem posed is based on the solution of the Darboux problem in a special class of functions obtained by the authors. The problem is reduced to a set of uniquely solvable Volterra integral equations, by virtue of which its solution can be obtained in explicit form.

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