Exponential dichotomy for hyperbolic systems with periodic boundary conditions

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• 作者：R. Klyuchnyk^b ; ^{roman.klyuchnyk@gmail.com} ; I. Kmit^a ; ^b ; ^{kmit@mathematik.hu-berlin.de} ; L. Recke^a ; ^{recke@mathematik.hu-berlin.de}
• 关键词：First-order hyperbolic systems ; Periodic boundary conditions ; Existence of exponential dichotomy ; Fredholm alternative in the space of bounded functions
• 刊名：Journal of Differential Equations
• 出版年：2017
• 出版时间：5 February 2017
• 年：2017
• 卷：262
• 期：3
• 页码：2493-2520
• 全文大小：402 K
• 卷排序：262

文摘

We investigate evolution families generated by general linear first-order hyperbolic systems in one space dimension with periodic boundary conditions. We state explicit conditions on the coefficient functions that are sufficient for the existence of exponential dichotomies on RR in the space of continuous periodic functions.