For the first time, by the method of integral and hybrid integral transformations in combination with the method of principal solutions (matrices of influence and Green matrices), we construct the integral representation of a unique exact analytic solution of the hyperbolic boundary-value problem of mathematical physics for a piecewise homogeneous solid cylinder.
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Translated from Neliniini Kolyvannya, Vol. 21, No. 4, pp. 485–495, October–December, 2018.
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Konet, I.M., Pylypyuk, T.M. Hyperbolic Boundary-Value Problem for a Piecewise Homogeneous Solid Cylinder. J Math Sci 246, 352–364 (2020). https://doi.org/10.1007/s10958-020-04744-x
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DOI: https://doi.org/10.1007/s10958-020-04744-x