Abstract
In this paper we consider the Gellerstedt problem for a parabolic-hyperbolic equation of the second kind. We prove the unique solvability of this problem by means of a new representation for a solution to the modified Cauchy problem in a generalized class R.
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References
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Original Russian Text © N.K. Mamadaliev, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 4, pp. 33–38.
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Mamadaliev, N.K. The Gellerstedt problem for a parabolic-hyperbolic equation of the second kind. Russ Math. 53, 26–30 (2009). https://doi.org/10.3103/S1066369X09040045
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DOI: https://doi.org/10.3103/S1066369X09040045