Geodesic
A nonlocal problem for a~first-order partial differential equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2012), pp. 3-11.

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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.
Keywords: nonlocal problem, integral condition, a priori estimate, generalized solution. 
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V. B. Dmitriev. A nonlocal problem for a~first-order partial differential equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2012), pp. 3-11. http://geodesic.mathdoc.fr/item/IVM_2012_4_a0/

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