Open AccessBoundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variables
Author(s) -
V. M. Kyrylych,
O. Z. Slyusarchuk
Publication year - 2020
Publication title -
matematičnì studìï/matematičnì studìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.482
H-Index - 8
eISSN - 2411-0620
pISSN - 1027-4634
DOI - 10.30970/ms.53.2.159-180
Subject(s) - piecewise , mathematics , a priori and a posteriori , boundary value problem , variable (mathematics) , mathematical analysis , boundary (topology) , value (mathematics) , hyperbolic partial differential equation , partial differential equation , statistics , philosophy , epistemology
Nonlocal boundary value problems for arbitrary order hyperbolic systems with one spatial variable are considered. A priori estimates for general nonlocal mixed problems for systems with smooth and piecewise smooth coefficients are obtained. The correct solvability of such problems is proved.Examples of additional conditions necessity are provided.