Large time behaviour for functional differential equations with dominant eigenvalues of arbitrary order
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2009
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| Resumo |
The spectral theory for linear autonomous neutral functional differential equations (FDE) yields explicit formulas for the large time behaviour of solutions. Our results are based on resolvent computations and Dunford calculus, applied to establish explicit formulas for the large time behaviour of solutions of FDE. We investigate in detail a class of two-dimensional systems of FDE. (C) 2009 Elsevier Inc. All rights reserved. FAPESP[2006/50943-5] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) |
| Identificador |
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.360, n.1, p.278-292, 2009 0022-247X http://producao.usp.br/handle/BDPI/28934 10.1016/j.jmaa.2009.06.053 |
| Idioma(s) |
eng |
| Publicador |
ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Relação |
Journal of Mathematical Analysis and Applications |
| Direitos |
restrictedAccess Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Palavras-Chave | #Mathematical analysis #Functional differential equations #Asymptotic behaviour #Large time behaviour #Spectral theory #Dunford calculus #DELAY EQUATIONS #SPECTRAL THEORY #STABILIZATION #SYSTEMS #SERIES #Mathematics, Applied #Mathematics |
| Tipo |
article original article publishedVersion |
