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Boundary-value problem with saigo operators for mixed type equation of the third order with multiple characteristics

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Abstract

We study a boundary-value problem with shift formixed-type equation of the third order. In the hyperbolic field boundary condition contains a linear combination of generalized operators of fractional integro-differentiation. We prove a unique solvability of the problem.

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Correspondence to O. A. Repin.

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Original Russian Text © O.A. Repin, S.K. Kumykova, 2015, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, No. 7, pp. 49–57.

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Repin, O.A., Kumykova, S.K. Boundary-value problem with saigo operators for mixed type equation of the third order with multiple characteristics. Russ Math. 59, 44–51 (2015). https://doi.org/10.3103/S1066369X15070051

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  • DOI: https://doi.org/10.3103/S1066369X15070051

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