Abstract
We study a nonlocal boundary-value problem for a degenerate hyperbolic equation. We prove that this problem is uniquely solvable if Volterra integral equations of the second kind are solvable with various values of parameters and a generalized fractional integro-differential operator with a hypergeometric Gaussian function in the kernel.
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Original Russian Text © O.A. Repin and S.K. Kumykova, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 3, pp. 28–35.
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Repin, O.A., Kumykova, S.K. A nonlocal problem for the Bitsadze-Lykov equation. Russ Math. 54, 24–30 (2010). https://doi.org/10.3103/S1066369X10030059
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DOI: https://doi.org/10.3103/S1066369X10030059