The Existence of a Generalized Solution of an $m$-Point Nonlocal Boundary Value Problem

summary:An $m$-point nonlocal boundary value problem is posed for quasilinear differential equations of 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 a generalized solution in the space are considered