On solutions of the Volterra equation in the space of functions of bounded variation (Q2921632)
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 solutions of the Volterra equation in the space of functions of bounded variation |
scientific article; zbMATH DE number 6354793
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On solutions of the Volterra equation in the space of functions of bounded variation |
scientific article; zbMATH DE number 6354793 |
Statements
13 October 2014
0 references
existence
0 references
uniqueness
0 references
functions of bounded variations
0 references
nonlinear Volterra integral equation
0 references
On solutions of the Volterra equation in the space of functions of bounded variation (English)
0 references
The main results of the paper are theorems on the existence and uniqueness of solutions of a nonlinear Volterra integral equation NEWLINE\[NEWLINE x(t)=g(t)+\int \limits_a^t K(t,s)f\bigl (x(s)\bigr)\,{\operatorname {d}}s NEWLINE\]NEWLINE in a class of functions of bounded variation.
0 references
