Approximate calculation of operator semigroups by perturbation of generators

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dc.creatorYurachkivsky, A.
dc.creatorZhugayevych, A.
dc.date2007-06-19
dc.date.accessioned2026-07-07T08:11:06Z
dc.date.available2026-07-07T08:11:06Z
dc.descriptionLet $Ω$ 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.
dc.description6 pages, no figures
dc.identifierhttps://arxiv.org/abs/0706.2819
dc.identifierhttp://arxiv.org/abs/0706.2819
dc.identifierDopovidi Natsionalnoi Akademii Nauk Ukrainy [Reports Nat. Acad. Sci. Ukr.], 2003, No.11, p. 27
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132018
dc.subjectFunctional Analysis
dc.subject47D06 (Primary) 34G10, 34K06 (Secondary)
dc.titleApproximate calculation of operator semigroups by perturbation of generators
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