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On a nonlocal boundary value problem for a degenerating second-order hyperbolic equation with a spectral parameter

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Abstract

We find necessary and sufficient conditions for the unique solvability of the generalized Darboux problem for a degenerating second-order linear hyperbolic equation of the first kind with two independent variables and with a spectral parameter.

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Authors and Affiliations

  1. Research Institute for Applied Mathematics and Automation, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, Nalchik, Russia

    Z. A. Nakhusheva

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  1. Z. A. Nakhusheva
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Original Russian Text © Z.A. Nakhusheva, 2011, published in Differentsial’nye Uravneniya, 2011, Vol. 47, No. 10, pp. 1452–1465.

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Nakhusheva, Z.A. On a nonlocal boundary value problem for a degenerating second-order hyperbolic equation with a spectral parameter. Diff Equat 47, 1468–1481 (2011). https://doi.org/10.1134/S0012266111100107

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  • DOI: https://doi.org/10.1134/S0012266111100107

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