Boundary Value Problem with Integral Condition for the Mixed Type Equation with a Singular Coefficient

Abstract

© 2020, Springer Nature Switzerland AG. We study the boundary value problem for the mixed type equation with a singular coefficient and nonlocal integral first-kind condition. We establish the uniqueness criterion and prove the solution existence and stability theorems. The solution of the problem is constructed explicitly and the proof of convergence of the series in the class of regular solutions is derived.