Complete continuity of some nonlinear Volterra operator in Banach spaces (Q1381118)
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: Complete continuity of some nonlinear Volterra operator in Banach spaces |
scientific article; zbMATH DE number 1129187
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete continuity of some nonlinear Volterra operator in Banach spaces |
scientific article; zbMATH DE number 1129187 |
Statements
Complete continuity of some nonlinear Volterra operator in Banach spaces (English)
0 references
17 March 1998
0 references
Given a family \(K(t)\) \((a\leq t\leq b)\) of compact or condensing nonlinear operators in a Banach space, the author studies the compactness properties of the abstract Volterra operator \[ Hx(t)= \int^t_a K(\tau)x(\tau)d\tau. \] {}.
0 references
compact or condensing nonlinear operators
0 references
compactness
0 references
abstract Volterra operator
0 references
0 references
