This book is devoted to positive linear dynamical systems appearing frequently in
mathematical models of various real-life problems. Here we present an operator theoretic …

We present the operator semigroups approach to the first-and second-order dynamical
systems taking place on metric graphs. We briefly survey the existing results and focus on …

We study diffusion in a network which is governed by non-autonomous Kirchhoff conditions
at the vertices of the graph. Also the diffusion coefficients may depend on time. We prove at …

A lot of well-known partial differential equations modeling physical systems, such as the heat
equation, the Schrödinger equation or the wave equation, use temporal change of states …

We study transport processes on infinite metric graphs with non-constant velocities and
matrix boundary conditions in the $\\mathrm {L}^{\infty} $-setting. We apply the theory of bi …

Quantum graphs with varying edges lengths are constructed. We deal with two types of
operators on the graph edges: the Schrödinger and the Dirac operators. The dynamics of …

We consider transport processes on metric graphs with time-dependent velocities and show
that, under continuity assumption of the velocity coefficients, the corresponding non …

We consider a transport problem on an infinite metric graph and discuss its well-posedness
and long-term behaviour under the condition that the mass flow is buffered in at least one of …

This work deals with the existence and uniqueness of μ-pseudo almost periodic solutions to
some transport processes along the edges of a finite network with inhomogeneous …

We study transport processes on infinite networks. The solution of these processes can be
modeled by an operator semigroup on a suitable Banach space. Classically, such …