Hostname: page-component-7479d7b7d-fwgfc Total loading time: 0 Render date: 2024-07-11T23:16:41.958Z Has data issue: false hasContentIssue false
  • English
  • Français

Bendixson's criterion for systems with non-C1 vector fields

Published online by Cambridge University Press:  12 July 2007

Zhanyuan Hou
Zhanyuan Hou
Affiliation:
Department of Computing, Information Systems and Mathematics, London Guildhall University, 100 Minories, London EC3N 1JY, UK
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)