The Conley index and the method of averaging (Q1176312)
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: The Conley index and the method of averaging |
scientific article; zbMATH DE number 14016
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Conley index and the method of averaging |
scientific article; zbMATH DE number 14016 |
Statements
The Conley index and the method of averaging (English)
0 references
25 June 1992
0 references
The paper presents theorems concerning the existence of global solutions or the asymptotic behaviour of solutions for some nonautonomous ordinary differential equations. It is assumed that the right-hand sides of these equations are almost periodic or periodic with respect to the time parameter. The existence of some isolated invariant sets with nonzero Conley index is also assumed. In some of the theorems the averaged equations to the considered ones are used.
0 references
averaging
0 references
existence of global solutions
0 references
asymptotic behaviour
0 references
nonautonomous ordinary differential equations
0 references
almost periodic
0 references
isolated invariant sets with nonzero Conley index
0 references
