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.
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