- Abstract:
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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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted manuscript
- Files:
-
-
(pdf, 291.5KB)
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- Publisher copy:
- 10.1007/s10884-016-9547-1
-
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- Grant:
- ECOST-STSM-TD1409-070316-071432
- 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:
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1572-9222
- ISSN:
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1040-7294
- Pubs id:
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pubs:641696
- URN:
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uri:facb657c-df7d-46d3-9677-625fe5b61da5
- UUID:
-
uuid:facb657c-df7d-46d3-9677-625fe5b61da5
- Local pid:
- pubs:641696
- Copyright holder:
- Springer Science+Business Media
- Copyright date:
- 2016
- Notes:
- © Springer Science+Business Media New York 2016
Journal article
Asymptotic behaviour of coupled systems in discrete and continuous time
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+ European Cooperation in Science and Technology
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