Robustness of the exponential dichotomies of boundary-value problems for the general first-order hyperbolic systems

• Published in: Український математичний журнал
• Date: 2013
• ISSN: 1027-3190
• Main Authors: Kmit, I.Ya., Recke, L., Tkachenko, V.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164979
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Robustness of the exponential dichotomies of boundary-value problems for the general first-order hyperbolic systems / I.Ya. Kmit, L. Recke, V.I. Tkachenko // Український математичний журнал. — 2013. — Т. 65, № 2. — С. 236-251. — Бібліогр.: 21 назв. — англ.

We examine the robustness of exponential dichotomies of boundary-value problems for general linear first-order one-dimensional hyperbolic systems. It is assumed that the boundary conditions guarantee an increase in the smoothness of solutions in a finite time interval, including the reflection bound...