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On a weighted boundary-value problem in an infinite half-strip for a biaxisymmetric Helmholtz equation

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Abstract

We study a boundary-value problem for a generalized biaxisymmetric Helmholtz equation. Boundary conditions in this problem depend on equation parameters. By the method of separation of variables, using the Fourier-Bessel series expansion and the Hankel transform, we prove the unique solvability of the problem and establish explicit formulas for its solution.

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Authors and Affiliations

  1. Samara State University of Architecture and Civil Engineering, ul. Molodogvardeiskaya 194, Samara, 443001, Russia

    A. A. Abashkin

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  1. A. A. Abashkin
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Correspondence to A. A. Abashkin.

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Original Russian Text © A.A. Abashkin, 2013, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, No. 6, pp. 3–12.

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Abashkin, A.A. On a weighted boundary-value problem in an infinite half-strip for a biaxisymmetric Helmholtz equation. Russ Math. 57, 1–9 (2013). https://doi.org/10.3103/S1066369X13060017

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  • DOI: https://doi.org/10.3103/S1066369X13060017

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