Boundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variables | Zendy

V. M. Kyrylych | Zendy; O. Z. Slyusarchuk | Zendy

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Boundary 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 -

matematychni studii

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.

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