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

David Devadze 1
  • 1 Faculty of Physics-Mathematics and Computer Sciences, Batumi Shota Rustaveli State University, , Batumi, Georgia

Abstract

An m-point nonlocal boundary value problem is posed for quasi- linear 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.

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