USA-Chile Workshop on Nonlinear Analysis,

Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 225-241.

### Exponential dichotomies for linear systems with impulsive effects

Raul Naulin

**Abstract:**

In this paper we give conditions for the existence of a
dichotomy for the impulsive equation

where
is a positive function such that
in some sense.
The results are expressed in terms of the properties of the
eigenvalues of matrices
,
the properties of the eigenvalues of matrices
and the location of the impulsive times
in
.
Published January 8, 2001.

Math Subject Classifications: 34A05, 34E05.

Key Words: Impulsive linear systems, singularly perturbed impulsive
systems, dichotomies, splitting of impulsive systems.

Show me the
PDF file (176K),
TEX file, and other files for this article.

Raul Naulin

Departamento de Matematicas,
Universidad de Oriente

Apartado 245, Cumana 6101-A, Venezuela

e-mail: rnaulin@cumana.sucre.udo.edu.ve

Return to the EJDE web page