Bendixson's criterion for systems with non-C1 vector fields
Published online by Cambridge University Press: 12 July 2007
Abstract
The generalized Bendixson's criterion for non-existence of non-constant periodic solutions of an autonomous system dx/dt = f(x), x ∈ D, is further extended to systems when the condition f ∈ C1(D, RN) is violated. In particular, the criterion can be applied to region-wise linear systems in RN.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 2 , April 2003 , pp. 393 - 407
- Copyright
- Copyright © Royal Society of Edinburgh 2003
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