Bounded Solutions to Boundary Value Hyperbolic Problems

2017/01/09 by R. Klyuchnyk, Klyuchnyk, R., Irina Kmit +1
Computer Science · Engineering · Mathematics · #35A17 #35F45 #35L40 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1701.02091

openalex publication_date 2017/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 non-diagonal part of the zero-order coefficients vanish at infinity. Moreover, we establish a dissipativity condition in terms of the boundary data and the diagonal part of the zero-order coefficients.

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