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math.AP2021
Telegraph systems on networks and port-Hamiltonians. III. Explicit representation and long-term behaviour
Jacek Banasiak, Adam Błoch
In this paper we present an explicit formula for the semigroup governing the solution to hyperbolic systems on a metric graph, satisfying general linear Kirchhoff's type boundary c…
math.AP2021
Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness
Jacek Banasiak, Adam Błoch
The paper is concerned with a system of linear hyperbolic differential equations on a network coupled through general transmission conditions of Kirchhoff's type at the nodes. We d…