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A nonlocal problem for a first-order partial differential equation

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Abstract

In this paper we study a nonlocal problem for a first-order partial differential equation with an integral condition instead of the standard boundary one. We prove that the problem under consideration is uniquely solvable.

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Authors and Affiliations

  1. Training Center “Znaniya Plyus”, ul. Novo-Vokzal’naya 115, Samara, 443081, Russia

    V. B. Dmitriev

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  1. V. B. Dmitriev
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Correspondence to V. B. Dmitriev.

Additional information

Original Russian Text © V.B. Dmitriev, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 4, pp. 3–11.

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Dmitriev, V.B. A nonlocal problem for a first-order partial differential equation. Russ Math. 56, 1–8 (2012). https://doi.org/10.3103/S1066369X12040019

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  • DOI: https://doi.org/10.3103/S1066369X12040019

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