Existence results for BV-solutions of nonlinear integral equations (Q1885578)
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: Existence results for BV-solutions of nonlinear integral equations |
scientific article; zbMATH DE number 2114497
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence results for BV-solutions of nonlinear integral equations |
scientific article; zbMATH DE number 2114497 |
Statements
Existence results for BV-solutions of nonlinear integral equations (English)
0 references
11 November 2004
0 references
The authors study sufficient conditions under which the nonlinear integral equation of Hammerstein-Fredholm type \[ x(t)=g(t)+ \int^1_0 k(t,s)f \bigl(x(s) \bigr)\,ds \] or Hammerstein-Volterra type \[ x(t)=g(t)+ \int^t_0 k(t,s)f \bigl(x(s) \bigr)\,ds \] has a solution of bounded variation.
0 references
solution of bounded variation
0 references
nonlinear Hammerstein-Fredholm integral equation
0 references
nonlinear Hammerstein-Volterra integral equation
0 references
