Abstract
We study an interior-boundary value problem for a third-order equation for the case in which, in the hyperbolic part of the domain boundary, the values of generalized fractional derivatives of the solution on the characteristics are related point by point to the values of the solution and its derivative on the degeneration line. We prove the unique solvability of the problem.
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Original Russian Text © O.A. Repin, S.K. Kumykova, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 6, pp. 755–763.
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Repin, O.A., Kumykova, S.K. On a nonlocal problem for a third-order equation of mixed type with multiple characteristics. Diff Equat 51, 767–775 (2015). https://doi.org/10.1134/S0012266115060075
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DOI: https://doi.org/10.1134/S0012266115060075