No CrossRef data available.
Article contents
Conjugacies for impulsive equations
Published online by Cambridge University Press: 01 November 2011
Abstract
For impulsive differential equations, we construct topological conjugacies between linear and nonlinear perturbations of non-uniform exponential dichotomies. In the case of linear perturbations, the topological conjugacies are constructed in a more or less explicit manner. In the nonlinear case, we obtain an appropriate version of the Grobman–Hartman Theorem for impulsive equations, with a simple and direct proof that involves no discretization of the dynamics.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 55 , Issue 1 , February 2012 , pp. 65 - 78
- Copyright
- Copyright © Edinburgh Mathematical Society 2011