8 citations · 26 across the 17 of their papers we have counts for
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math.AP2021★ 3 cited
Explicit solutions to some fragmentation equations with growth or decay
Jacek Banasiak, David Wetsi Poka, Sergey Shindin
In this paper, we provide a systematic way of finding explicit solutions for a class of continuous fragmentation equations with growth or decay in the state space and derive explic…
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…