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Communications in Mathematics

Editor-in-Chief: Rossi, Olga

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

David Devadze
Published Online: 2018-01-11 | DOI: https://doi.org/10.1515/cm-2017-0013


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.

MSC 2010: 35D05

Keywords: Nonlocal boundary value problem; generalized solution


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About the article

Received: 2017-03-15

Accepted: 2017-05-13

Published Online: 2018-01-11

Published in Print: 2017-12-20

Citation Information: Communications in Mathematics, Volume 25, Issue 2, Pages 159–169, ISSN (Online) 2336-1298, DOI: https://doi.org/10.1515/cm-2017-0013.

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© 2018. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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