Homotopy index and asymptotically autonomous differential equations (Q1903039)
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: Homotopy index and asymptotically autonomous differential equations |
scientific article; zbMATH DE number 823550
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homotopy index and asymptotically autonomous differential equations |
scientific article; zbMATH DE number 823550 |
Statements
Homotopy index and asymptotically autonomous differential equations (English)
0 references
1 February 1996
0 references
Local and global continuation theorems for the existence of bounded solutions to asymptotically autonomous differential equations of the form (1) \(x'(t) = \mu F(x,t, \mu)\), are established in terms of Conley homotopy index. For this, the author associates to (1) a family of skew product flows and applies the the Conley index to isolated invariant sets in the skew product flows. Some applications are also included.
0 references
local and global continuation theorems
0 references
bounded solutions
0 references
asymptotically autonomous differential equations
0 references
Conley homotopy index
0 references
