Malaysian Journal of Mathematical Sciences, January 2018, Vol. 12, No. 1


The Nonlocal Boundary Value Problem with Constant Coefficients for the Mixed Type of Equation of the First Kind in a Plane

Dzhamalov, S. Z.

Corresponding Email: siroj@63mail.ru

Received date: 26 December 2016
Accepted date: 20 September 2017

Abstract:
In the present work for the second order mixed type equation of the first kind we study unique solvability and smoothness of the generalized solution of nonlocal boundary value problem with constants coefficients.

Keywords: mixed type equation of the first kind, nonlocal problem, Sobolev spaces, unique solvability and smoothness of the generalized solution, \(\varepsilon\)-regularization", a priory estimates and Galerkin’s methods

  



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