Mirislav Pavlović Page 1 Posebna izdanja 23 Marko Kostić Generalized Semigroups and
Cosine Functions Matematički institut SANU Beograd Page 2 Издавач: Математички институт …

1. Introduction Page 1 ON THE REGULARITY PROPERTIES OF PERTURBED
SEMIGROUPS RAINER NAGEL AND SUSANNA PIAZZERA Abstract. We give conditions …

A class of boundary control systems with boundary observation is considered, for which the
unbounded operators often lead to technical difficulties. An extended model for this class of …

The main purpose of this paper is to treat semigroup properties like norm continuity,
compactness and differentiability for perturbed semigroups in Banach spaces. In particular …

We consider the question of eventual differentiability of the delay semigroups associated
with the retarded equation u′(t)= Au (t)+ Φut (t⩾ 0), where ut is the history function, A …

The central point of the article is Arendt's version of the theorem of Widder concerning
inverting of the Laplace transform and its relationships with problems of semigroup theory. A …

In this paper we introduce a class of left shift semigroups that are differentiable. With the help
of perturbation theory for differentiable semigroups we show that solutions of an …

We systematically analyze differential and analytical properties of various kinds of
semigroups of linear operators, including (local) convoluted C-semigroups and …

Suppose that A generates a C₀-semigroup T on a Banach space X. In 1953 RS Phillips
showed that, for each bounded operator B on X, the perturbation A+ B of A generates a C₀ …

If (A, D (A)) generates a C 0-semigroup T on a Banach space X and B ∈ L (X) then (A+ B, D
(A)) is also the generator of a C 0-semigroup, SB. There are easy examples to show that if T …