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Solvability of the Dirichlet problem for a mixed-type equation of the second kind

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Abstract

We obtain sufficient conditions for the solvability of the Dirichlet problem for a mixed-type equation of the second kind in a rectangular domain. The solution is represented by a convergent series constructed from the problem data. Some cases of nonuniqueness of the solution are described.

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References

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Correspondence to R. S. Khairullin.

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Original Russian Text © R.S. Khairullin, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 5, pp. 684–692.

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Khairullin, R.S. Solvability of the Dirichlet problem for a mixed-type equation of the second kind. Diff Equat 53, 677–685 (2017). https://doi.org/10.1134/S0012266117050111

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  • DOI: https://doi.org/10.1134/S0012266117050111

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