Conditional Correctness and Approximate Solution of Boundary Value Problem for the System of Second Order Mixed-type Equations

Abstract

In this paper, we consider the system of second-order mixed type equations. Theorems of uniqueness and conditional stability in the set of correctness are proven. The approximate solution is constructed by the method of regularization and by the quasi-inverse method.Keywords: system of equations, boundary value problem, ill-posed problem, a priori estimate, theorem of the uniqueness, conditional stability, set of correctness, approximate solution, regularization.