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. 
@article{IVM_2012_4_a0,
     author = {V. B. Dmitriev},
     title = {A nonlocal problem for a~first-order partial differential equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--11},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_4_a0/}
}
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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/