Exponential Dichotomy for Hyperbolic Systems with Periodic Boundary Conditions

Abstract

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 $\mathbb{R}$ in the space of continuous periodic functions.

28 pages

References in corpus (1)

• Fredholm Solvability of Time-Periodic Boundary Value Hyperbolic Problems

Cited by in corpus (3)

• Classical Bounded and Almost Periodic Solutions to Quasilinear First-Order Hyperbolic Systems in a Strip
• Bounded and Almost Periodic Solvability of Nonautonomous Quasilinear Hyperbolic Systems
• Lyapunov function and smooth periodic solutions to quasilinear 1D hyperbolic systems