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The Hilbert boundary-value problem with a finite index and a countable set of jump discontinuities in coefficients

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Abstract

We consider the Hilbert boundary-value problem with a finite index for the case, when the coefficients in the boundary condition have two infinite sequences of discontinuity points of the first kind. We obtain a formula for the general solution and study the solvability issues.

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Authors and Affiliations

  1. Kazan State Architecture and Building University, ul. Zelyonaya 1, Kazan, 420043, Russia

    P. L. Shabalin

Authors
  1. R. B. Salimov
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  2. P. L. Shabalin
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Correspondence to P. L. Shabalin.

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Original Russian Text © R.B. Salimov and P.L. Shabalin, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 3, pp. 36–47.

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Salimov, R.B., Shabalin, P.L. The Hilbert boundary-value problem with a finite index and a countable set of jump discontinuities in coefficients. Russ Math. 54, 31–41 (2010). https://doi.org/10.3103/S1066369X10030060

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  • DOI: https://doi.org/10.3103/S1066369X10030060

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