Borg's criterion for almost periodic differential equations

Giesl, Peter and Rasmussen, Martin (2008) Borg's criterion for almost periodic differential equations. Nonlinear Analysis: Theory, Methods and Applications, 69 (11). pp. 3722-3733. ISSN 0362-546X

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Abstract

Borg's criterion is used to prove the existence of an exponentially asymptotically stable periodic orbit of an autonomous differential equation and to determine its domain of attraction. In this article, this method is generalized to almost periodic differential equations. Both sufficient and necessary conditions are obtained for the existence of an exponentially stable almost periodic solution. The condition uses a Riemannian metric, and an example for the explicit construction of such a metric is presented.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Peter Giesl
Date Deposited: 06 Feb 2012 21:29
Last Modified: 10 May 2012 15:16
URI: http://sro.sussex.ac.uk/id/eprint/31428
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