Stability of nonlinear difference inclusions (Q2756183)
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: Stability of nonlinear difference inclusions |
scientific article; zbMATH DE number 1672650
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of nonlinear difference inclusions |
scientific article; zbMATH DE number 1672650 |
Statements
12 November 2001
0 references
stability
0 references
difference inclusions
0 references
Banach space
0 references
cone
0 references
equilibrium point
0 references
0.9884354
0 references
0.9725914
0 references
0.9640626
0 references
0.9405769
0 references
Stability of nonlinear difference inclusions (English)
0 references
The stability of difference inclusions NEWLINE\[NEWLINEx_{k+1}\in F(x_k)NEWLINE\]NEWLINE is studied where \(F(\circ)\) is described by a set of selections \(F( \circ,\lambda)\), NEWLINE\[NEWLINEF(\circ)=\bigl\{F(\circ,\lambda);\;\lambda\in\Lambda \bigr\}, NEWLINE\]NEWLINE \(F(\circ, \lambda): E\to E\), \(E\) is a Banach space, partially ordered by a cone \(K\).NEWLINENEWLINENEWLINEThe main results concern asymptotically stable absorbing sets, and include the case of a single equilibrium point. Some practical problems are given also.
0 references
