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Global attraction for systems with almost C1 vector fields
Published online by Cambridge University Press: 12 July 2007
Abstract
Sufficient conditions are given for an autonomous differential systemto have a single point global attractor (repeller) with f continuously differentiable almost everywhere. These results incorporate those of Hartman and Olech as a special case even when the condition f ∈ C1(D, RN) is fully met. Moreover, these criteria are simplified for a class of region-wise linear systems in RN.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 4 , August 2005 , pp. 815 - 832
- Copyright
- Copyright © Royal Society of Edinburgh 2005