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

David Devadze

doi:10.1515/cm-2017-0013

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

cm:9471 - Communications in Mathematics, January 11, 2018, Volume 25 (2017), Issue 2 - https://doi.org/10.1515/cm-2017-0013

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

Authors: David Devadze

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.

https://doi.org/10.1515/cm-2017-0013

Source: HAL:hal-03664947v1

Volume: Volume 25 (2017), Issue 2

Published on: January 11, 2018

Imported on: May 11, 2022

Keywords: General Mathematics,[MATH]Mathematics [math]

Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)