On perturbation of \(K\)-regularized resolvent families. (Q1432835)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On perturbation of \(K\)-regularized resolvent families. |
scientific article; zbMATH DE number 2076836
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On perturbation of \(K\)-regularized resolvent families. |
scientific article; zbMATH DE number 2076836 |
Statements
On perturbation of \(K\)-regularized resolvent families. (English)
0 references
22 June 2004
0 references
The authors introduce the notion of a \(k\)-regularized resolvent family, being a resolvent family satisfying a given Volterra integral equation, and express the generator of the resolvent family in terms of the kernel function \(k\), specialize the result for \(\alpha\)-integrated semigroup generators, and derive an additive perturbation result.
0 references
integrated semigroup
0 references
Volterra integral equation
0 references
resolvent family
0 references
perturbation
0 references
