Asymptotically stable solution of a nonlinear Volterra integral equation (Q2811754)
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: Asymptotically stable solution of a nonlinear Volterra integral equation |
scientific article; zbMATH DE number 6592346
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotically stable solution of a nonlinear Volterra integral equation |
scientific article; zbMATH DE number 6592346 |
Statements
10 June 2016
0 references
asymptotic proximity
0 references
fixed point theorem
0 references
existence
0 references
asymptotic stability
0 references
Asymptotically stable solution of a nonlinear Volterra integral equation (English)
0 references
Sufficient conditions for the existence of at least one solution of a nonlinear Volterra integral equation are derived as well as asymptotic proximity for solutions as \(t\rightarrow +\infty\) under 8 strict assumptions. It has to be noted that the solutions of nonlinear Volterra equations may blow-up, here the readers may be referred to Chapter 9 of the monograph by \textit{D. Sidorov} [Integral dynamical models. Singularities, signals and control. Hackensack, NJ: World Scientific (2015; Zbl 1311.45012)] and its bibliography.
0 references
