Algorithm for Generalized Solution of Nonlocal Boundary Value Problem

摘要

An m-point nonlocal boundary value problem is posed for quasi-linear differential equations of the first order on the plane. Nonlocal boundary value problems are investigated using the algorithm of reducing nonlocal boundary value problems to a sequence of Riemann-Hilbert problems for a generalized analytic function. The conditions for the existence and uniqueness of generalized solution in the space C_α(G) are considered.