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

• Date: 2013
• Main Authors: Kmit, I. Ya., Recke, L., Tkachenko, V. I., Кміть, І. Я., Реке, Л., Ткаченко, В. І.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2415
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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, which includes reflection bou...