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Differential Equations

, Volume 54, Issue 4, pp 562–565 | Cite as

Dirichlet Problem for a Mixed Type Equation of the Second Kind in Exceptional Cases

  • R. S. Khairullin
Short Communications
  • 13 Downloads

Abstract

We prove that the Dirichlet problem for a mixed-type equation of the second kind with an integer negative coefficient has a solution in a rectangular domain. The corresponding estimates are constructed and used to determine sufficient conditions for the problem to have a solution. The cases of nonuniqueness of the solution are distinguished, and solvability conditions in these cases are obtained.

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Kazan State University of Architecture and EngineeringKazanRussia

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