On the location of positive limit sets for autonomous functional differential equations with infinite delay (Q2277633)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the location of positive limit sets for autonomous functional differential equations with infinite delay |
scientific article |
Statements
On the location of positive limit sets for autonomous functional differential equations with infinite delay (English)
0 references
1990
0 references
The main purpose of this paper is to establish asymptotic constancy of solutions of functional-differential equations with infinite delay for which each constant function is a solution. For the basic results the Lyapunov-Razumikhin techniques and the location of positive limit sets of precompact orbits are used. Some classes of admissible spaces and appropriate comparison principles are considered for examining the equations.
0 references
stability
0 references
asymptotic constancy
0 references
functional-differential equations with infinite delay
0 references
Lyapunov-Razumikhin techniques
0 references
comparison principles
0 references
0 references
