Approximate calculation of operator semigroups by perturbation of generators

Details Approximate calculation of operator semigroups by perturbation of generators Approximate calculation of operator semigroups by perturbation of generators

2007-06-19

arxiv.org/abs/0706.2819v1

Dopovidi Natsionalnoi Akademii Nauk Ukrainy [Reports Nat. Acad. Sci. Ukr.], 2003, No.11, p. 27

Mathematics

Functional Analysis

6 pages, no figures

Scientific paper

Let $\Omega$ be an operator semigroup with generator $A$ in a sequentially
complete locally convex topological vector space $E$. For a semigroup with
generator $A+D$, where $D$ is a bounded linear operator on $E$, two integral
equations are derived. A theorem on continuous dependence of a semigroup on its
generator is proved. An application to random walk on $\mathbb{Z}$ is given.

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