|
|||||
|
|
Dichotomic maps for delayed equations |
|
| Authors: | Maria A. Bená Luiz A.V. Carvalho José G. Dos Reis |
| Affiliation: | 1. DFM , FFCLRP-USP , Av.Bandeirantes, 3900, Ribeir? Preto, SP, 14040-901, Brasil E-mail: mabena@biomag.ffclrp.usp.br;2. ICMSC-USP , C.P. 668, S?o Carlos, SP, 13560-970, Brasil E-mail: lavdcarv@icmsc.sc.usp.br;3. FMRP-USP , Ribeir?o Preto, SP, 14049-900, Brasil |
| Abstract: | The aim of this work is to apply the method of “dichotomic maps” to study stability of the null solutions of delayed functional differential equations. Preliminaries are presented followed by proofs of main theorems on simple and asymptotic stability. Some particular cases which have been studied by others authors with more restrictive hypotheses and more elaborated methods are showed as illustrative examples enhancing the advantages of the dichotomic maps approach. |
| Keywords: | Dichotomic map Retarded functional differential equation Stability Asymptotic stability |