Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Next Article
 


Journal of Convex Analysis 12 (2005), No. 1, 001--011
Copyright Heldermann Verlag 2005



Inner Estimation of the Eigenvalue Set and Exponential Series Solutions to Differential Inclusions

Felipe Alvarez
Dep. Ingenieria Matematica, Universidad de Chile, Casilla 170/3 - Correo 3, Santiago, CHILE
falvarez@dim.uchile.cl

Rafael Correa
Dep. Ingenieria Matematica, Universidad de Chile, Casilla 170/3 - Correo 3, Santiago, CHILE

Pedro Gajardo
Dep. Ingenieria Matematica, Universidad de Chile, Casilla 170/3 - Correo 3, Santiago, CHILE
gajardo@univ-avignon.fr



We obtain inner estimations, around special eigenvalues, for the eigenvalue set of a properly nonlinear closed convex process. We also consider a differential inclusion associated with a general closed convex process and we construct smooth power series solutions of exponential type for some initial states.

Keywords: Convex process, eigenvalues, differential inclusion.

[ Fulltext-pdf  (367  KB)] for subscribers only.