STABILITY FOR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2008
|
| Resumo |
It is known that retarded functional differential equations can be regarded as Banach-space-valued generalized ordinary differential equations (GODEs). In this paper, some stability concepts for retarded functional differential equations are introduced and they are discussed using known stability results for GODEs. Then the equivalence of the different concepts of stabilities considered here are proved and converse Lyapunov theorems for a very wide class of retarded functional differential equations are obtained by means of the correspondence of this class of equations with GODEs. Academy of Sciences of the Czech Republic (AVCR) AVCR Academy of Sciences of the Czech Republic[IAA100190702] |
| Identificador |
UKRAINIAN MATHEMATICAL JOURNAL, v.60, n.1, p.121-140, 2008 0041-5995 http://producao.usp.br/handle/BDPI/28876 10.1007/s11253-008-0047-2 |
| Idioma(s) |
eng |
| Publicador |
SPRINGER |
| Relação |
Ukrainian Mathematical Journal |
| Direitos |
restrictedAccess Copyright SPRINGER |
| Palavras-Chave | #Mathematics, Applied #Mathematics |
| Tipo |
article original article publishedVersion |
