A note on the asymptotic stability in the whole of non-autonomous systems

In this paper we present some results on the global stability of the trivial solutions x≡ 0 of the system x' = f(t,x). Our main results are then applied to various systems.

Autores:
Nápoles Valdés, Juan E.
Tipo de recurso:
Article of journal
Fecha de publicación:
1999
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43721
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43721
http://bdigital.unal.edu.co/33819/
Palabra clave:
Stability
asymptotic stability
asymptotic stability in the whole
Liapunov's second method
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:In this paper we present some results on the global stability of the trivial solutions x≡ 0 of the system x' = f(t,x). Our main results are then applied to various systems.