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A geometric method for solving a series of integral Poincaré-Steklov equations

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Abstract

Eigenvalues and eigenfunctions are explicitly found for a family of singular integral equations. It is shown how their discrete spectrum becomes continuous as the equation degenerates.

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Authors and Affiliations

  1. Institute for Computational Mathematics, Russian Academy of Sciences, USSR

    A. B. Bogatyre

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  1. A. B. Bogatyre
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Translated fromMatematicheskie Zametki, Vol. 63, No. 3, pp. 343–353, March, 1998.

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Bogatyre, A.B. A geometric method for solving a series of integral Poincaré-Steklov equations. Math Notes 63, 302–310 (1998). https://doi.org/10.1007/BF02317774

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  • DOI: https://doi.org/10.1007/BF02317774

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