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

We study how a boundary value problem with a nonlocal integral condition of the first kind for a mixed type equation with a singular coefficient in a rectangular domain depends on a numerical parameter occurring in the equation. A uniqueness criterion is established, and theorems on the existence and stability of a solution of the problem are proved. The solution is constructed in closed form, and the convergence of the series in the class of regular solutions is justified.