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Darboux–Protter Spectral Problems for One Class of Multidimensional Hyperbolic Equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

For a multidimensional hyperbolic equation with a wave operator in the principal part, we show that the Darboux–Protter spectral problem has the countable set of eigenfunctions, and its dual problem is the Volterra problem.

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Authors and Affiliations

  1. Kazakhstan Academy of Transport and Communications, Alma-Ata

    S. A. Aldashev

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  1. S. A. Aldashev
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Aldashev, S.A. Darboux–Protter Spectral Problems for One Class of Multidimensional Hyperbolic Equations. Ukrainian Mathematical Journal 55, 126–135 (2003). https://doi.org/10.1023/A:1025028804123

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  • DOI: https://doi.org/10.1023/A:1025028804123

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