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New Integral Transformations and Their Applications to Some Boundary-Value Problems of Mathematical Physics

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Ukrainian Mathematical Journal Aims and scope

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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  1. Institute of Mathematics, Economics, and Mechanics, Odessa National University, Odessa

    G. Ya. Popov

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  1. G. Ya. Popov
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Popov, G.Y. New Integral Transformations and Their Applications to Some Boundary-Value Problems of Mathematical Physics. Ukrainian Mathematical Journal 54, 1992–2005 (2002). https://doi.org/10.1023/A:1024025315449

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  • DOI: https://doi.org/10.1023/A:1024025315449

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