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.

Contact details are reproduced from the original publication and may be historical.

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

F. Alvarez, R. Correa, P. Gajardo. “Inner Estimation of the Eigenvalue Set and Exponential Series Solutions to Differential Inclusions.” Journal of Convex Analysis 12 (2005), No. 1, 1–11.