Bounded solutions to boundary-value hyperbolic problems

• Published in: Нелінійні коливання
• Date: 2016
• Main Authors: Klyuchnyk, R.Y., Kmit, I.Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177286
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bounded solutions to boundary-value hyperbolic problems / R.Y. Klyuchnyk, I.Y. Kmit // Нелінійні коливання. — 2016. — Т. 19, № 4. — С. 509-520 — Бібліогр.: 17 назв. — англ.

We investigate linear boundary-value problems for first-order one-dimensional hyperbolic systems in a strip. We establish conditions for existence and uniqueness of bounded continuous solutions. For that we suppose that the nondiagonal part of the zero-order coefficients vanish at infinity. Moreover...