Bounded solutions and \(L_p\)-solutions of a Volterra integral equation in a Banach space (Q357343)
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: Bounded solutions and \(L_p\)-solutions of a Volterra integral equation in a Banach space |
scientific article; zbMATH DE number 6192527
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounded solutions and \(L_p\)-solutions of a Volterra integral equation in a Banach space |
scientific article; zbMATH DE number 6192527 |
Statements
Bounded solutions and \(L_p\)-solutions of a Volterra integral equation in a Banach space (English)
0 references
30 July 2013
0 references
The author considers a linear Volterra integral equation with an operatorial kernel of convolution type in a complex Banach space. He proves the equivalence of three conditions for the existence and uniqueness of solutions in the class of \(p\)-summable or essentially bounded functions. The case of a semilinear Volterra equation is also discussed.
0 references
boubded soultions
0 references
\(L_p\)-solutions
0 references
linear Volterra integral equation
0 references
operatorial kernel of convolution type
0 references
semilinear Volterra equation
0 references
