This paper deals with the stability analysis of the reaction–diffusion equation interconnected
with a finite-dimensional system. In this situation, stability is no longer straightforward to …

We discuss the construction of the entire Sobolev (Hölder) scale for non-densely defined
operators with rays of minimal growth on a Banach space. In particular, we give a …

The aim of this work is to provide useful criteria for well-posedness, positivity and stability of
a class of infinite-dimensional linear systems. These criteria are based on an inverse …

We prove well-posedness for very general linear wave-and diffusion equations on compact
or non-compact metric graphs allowing various different conditions in the vertices. More …

We present a perturbation result for generators of C0‐semigroups which can be considered
as an operator theoretic version of the Weiss‐Staffans perturbation theorem for abstract …

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 …

In this paper, we consider a spatially and size structured population model with unbounded
birth process. Firstly, the model is transformed into a closed-loop system, and hence the well …

In a recent paper we presented a general perturbation result for generators of C_0 C 0-
semigroups, cf Theorem 2.1 below. The aim of the present work is to replace, in case the …

This paper focuses on boundary approximate controllability under positivity constraints of a
wide range of infinite-dimensional control systems. We develop frequency-domain …

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