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

References

1. J. P. Aubin, A. Cellina: Differential Inclusions, Springer, Berlin (1984).https://doi.org/10.1007/978-3-642-69512-4Google Scholar
2. J. P. Aubin, H. Frankowska: Set-Valued Analysis, Systems and Control: Foundations and Applications 2, Birkhäuser, Boston (1990).Google Scholar
3. J. P. Aubin, H. Frankowska, C. Olech: Controllability of convex processes, SIAM J. Control Optim. 24 (1986) 1192–1211.https://doi.org/10.1137/0324072Google Scholar
4. R. Correa, A. Seeger: Eigenvalue localization for multivalued operators, in: Optimization (Namur, 1998), V. H. Nguyen et al. (ed.), Lecture Notes in Econom. and Math. Systems 481, Springer, Berlin (2000) 111–118.https://doi.org/10.1007/978-3-642-57014-8_8Google Scholar
5. P. Lavilledieu, A. Seeger: Existence de valeurs propres pour les systèmes multivoques: Résultats anciens et nouveaux, Ann. Sci. Math. Québec 25 (2001) 47–70.Google Scholar
6. A. Leizarowitz: Eigenvalues of convex processes and convergences properties of differential inclusions, Set-Valued Analysis 2 (1994) 505–527.https://doi.org/10.1007/BF01033069Google Scholar
7. S. M. Robinson: Normed convex processes, Trans. Amer. Math. Soc. 174 (1972) 127–140.https://doi.org/10.1090/S0002-9947-1972-0313769-9Google Scholar
8. R. T. Rockafellar: Monotone Processes of Convex and Concave Type, Mem. Am. Math. Soc. 77, American Mathematical Society, Providence (1967).https://doi.org/10.1090/memo/0077Google Scholar
9. R. T. Rockafellar: Convex Analysis, Princeton Univ. Press, Princeton (1970).https://doi.org/10.1515/9781400873173Google Scholar
10. R. T. Rockafellar, R. J.-B. Wets: Variational Analysis, Springer, Berlin (1998).https://doi.org/10.1007/978-3-642-02431-3Google Scholar
11. A. Seeger: Spectral analysis of set-valued mappings, Acta Math. Vietnam 23 (1998) 49–63.Google Scholar
12. A. Seeger: Eigenvalue analysis of equilibrium processes defined by linear complementarity conditions, Linear Algebra and its Applications 292 (1999) 1–14.https://doi.org/10.1016/S0024-3795(99)00004-XGoogle Scholar
13. G. Smirnov: Introduction to the Theory of Differential Inclusions, Graduate Studies in Mathematics 41, American Mathematical Society, Providence (2002).https://doi.org/10.1090/gsm/041Google Scholar
14. P. Wolenski: The exponential formula for the reachable set of Lipschitz differential inclusion, SIAM J. Control Optim. 5 (1990) 1148–1161.https://doi.org/10.1137/0328062Google Scholar
15. E. Zeidler: Applied Functional Analysis, Springer, New York (1995).https://doi.org/10.1007/978-1-4612-0815-0Google Scholar