On the dominance of roots of characteristic equations for neutral functional differential equations
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2009
|
| Resumo |
We present a sufficient condition for a zero of a function that arises typically as the characteristic equation of a linear functional differential equations of neutral type, to be simple and dominant. This knowledge is useful in order to derive the asymptotic behaviour of solutions of such equations. A simple characteristic equation, arisen from the study of delay equations with small delay, is analyzed in greater detail. (C) 2009 Elsevier Inc. All rights reserved. FAPESP[2006/50943-5] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) |
| Identificador |
APPLIED MATHEMATICS AND COMPUTATION, v.214, n.1, p.66-72, 2009 0096-3003 http://producao.usp.br/handle/BDPI/28945 10.1016/j.amc.2009.03.058 |
| Idioma(s) |
eng |
| Publicador |
ELSEVIER SCIENCE INC |
| Relação |
Applied Mathematics and Computation |
| Direitos |
restrictedAccess Copyright ELSEVIER SCIENCE INC |
| Palavras-Chave | #Functional differential equations #Characteristic equations #Dominance of roots #Asymptotic behaviour #BEHAVIOR #SYSTEMS #Mathematics, Applied |
| Tipo |
article original article publishedVersion |
