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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 4, Pages 3–11
(Mi ivm8589)
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A nonlocal problem for a first-order partial differential equation
V. B. Dmitriev Training Center "Knowledge Plus", Samara, Russia
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.
Keywords:
nonlocal problem, integral condition, a priori estimate, generalized solution.
Received: 11.04.2011
Citation:
V. B. Dmitriev, “A nonlocal problem for a first-order partial differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 4, 3–11; Russian Math. (Iz. VUZ), 56:4 (2012), 1–8
Linking options:
https://www.mathnet.ru/eng/ivm8589 https://www.mathnet.ru/eng/ivm/y2012/i4/p3
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