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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2012 Number 4, Pages 3–11 (Mi ivm8589)

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.

UDC: 517.956

Received: 11.04.2011


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:4, 1–8

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© Steklov Math. Inst. of RAS, 2026