Large time behaviour for functional differential equations with dominant eigenvalues of arbitrary order

Frasson, Miguel V. S.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Large time behaviour for functional differential equations with dominant eigenvalues of arbitrary order

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Author(s):	Frasson, Miguel V. S. ^[1] Total Authors: 1
Affiliation:	^[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	Journal of Mathematical Analysis and Applications; v. 360, n. 1, p. 278-292, DEC 1 2009.
Web of Science Citations:	2
Abstract
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. (AU)

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