# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## Locally Lipschitz continuous integrated semigroups

### Tom 167 / 2005

Studia Mathematica 167 (2005), 1-16 MSC: Primary 47D62; Secondary 47D60. DOI: 10.4064/sm167-1-1

#### Streszczenie

This paper is concerned with the problem of real characterization of locally Lipschitz continuous $(n+1)$-times integrated semigroups, where $n$ is a nonnegative integer. It is shown that a linear operator is the generator of such an integrated semigroup if and only if it is closed, its resolvent set contains all sufficiently large real numbers, and a stability condition in the spirit of the finite difference approximation theory is satisfied.

#### Autorzy

• Naoki TanakaDepartment of Mathematics
Faculty of Science
Okayama University
Okayama 700-8530, Japan
e-mail

## Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Odśwież obrazek