Stable periodic solutions of difference equations

Assuming certain conditions on an unperturbed continuous difference equation, we shall establish for a perturbed difference equation the existence of 1. (i) n asymptotically stable piecewise continuous n-periodic solutions, and 2. (ii) stable asymptotically n-periodic solutions.

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Bibliographic Details
Published in:Applied mathematics letters 1998-07, Vol.11 (4), p.81-84
Main Authors: Agarwal, R.P., Romanenko, E.Yu
Format: Article
Language:English
Subjects:
Asymptotically stable
Attracting cycle
Multiplicator of a cycle
Periodic solutions
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Description
Summary:Assuming certain conditions on an unperturbed continuous difference equation, we shall establish for a perturbed difference equation the existence of 1. (i) n asymptotically stable piecewise continuous n-periodic solutions, and 2. (ii) stable asymptotically n-periodic solutions.
ISSN:0893-9659
1873-5452
DOI:10.1016/S0893-9659(98)00060-3