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 …

In order to become worldly things, that is, deeds and facts and events and patterns of
thoughts or ideas,[action, speech, and thought] must first be seen, heard, and remembered …

We develop a theory of eventually positive C 0-semigroups on Banach lattices, that is, of
semigroups for which, for every positive initial value, the solution of the corresponding …

We study the numerical approximation of singularly perturbed convection-diffusion problems
on one-dimensional pipe networks. In the vanishing diffusion limit, the number and type of …

In this PhD thesis, strongly continuous operator semigroups are studied. We show that
contractivity or positivity of such a semigroup can have a profound impact on its long time …

We study hyperbolic systems of one-dimensional partial differential equations under
general, possibly non-local boundary conditions. A large class of evolution equations, either …

In this paper we consider a general macro-model describing a metapopulation consisting of
several interacting with each other subpopulations connected through a network, with the …

We consider singularly perturbed convection–diffusion equations on one‐dimensional
networks (metric graphs) as well as the transport problems arising in the vanishing diffusion …

In this paper we extend some of the previous results for a system of transport equations on a
closed network. We consider the Cauchy problem for a flow on a reducible network; that is, a …

The famous 1960s Lumer–Phillips theorem states that a closed and densely defined
operator AWD. A/Â X! X on a Banach space X generates a strongly continuous contraction …