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


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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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R. Khairullin

Kazan State University of Architecture and Engineering

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Email: xravil@kgasu.ru
俄罗斯联邦, Kazan, 420043

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