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Asymptotic behaviour of coupled systems in discrete and continuous time

Abstract:

This paper investigates the asymptotic behaviour of solutions to certain infinite systems of coupled recurrence relations. In particular, we obtain a characterisation of those initial values which lead to a convergent solution, and for initial values satisfying a slightly stronger condition we obtain an optimal estimate on the rate of convergence. By establishing a connection with a related problem in continuous time, we are able to use this optimal estimate to improve the rate of convergence...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1007/s10884-016-9547-1

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Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
Publisher:
Springer Publisher's website
Journal:
Journal of Dynamics and Differential Equations Journal website
Publication date:
2016-08-05
Acceptance date:
2016-08-05
DOI:
EISSN:
1572-9222
ISSN:
1040-7294
Pubs id:
pubs:641696
URN:
uri:facb657c-df7d-46d3-9677-625fe5b61da5
UUID:
uuid:facb657c-df7d-46d3-9677-625fe5b61da5
Local pid:
pubs:641696

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