NEW INTEGRAL TRANSFORMATIONS AND THEIR APPLICATIONS TO SOME BOUNDARY-VALUE PROBLEMS OF MATHEMATICAL PHYSICS


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Abstract

We construct new integral transformations and present their applications to the construction of exact solutions of some boundary-value problems of mathematical physics. We solve the problem of diffraction of acoustic waves in a circular cone truncated by two spherical surfaces. We also solve the initial boundary-value problem of the theory of heat conduction for the same truncated cone under nonzero initial conditions.

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