A relaxation theorem for differential inclusions in banach spaces

Tohoku Mathematical Journal

Volumn 39, Issue 4, 1987, Pages 505-517

  Papageorgiou, Nikolaos S ^a,b  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972557351     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178228239     Document Type: Article

References (21)

1. N. Ahmed and K. Teo, Optimal Control of Distributed Parameter Systems, North-Holland New York, Oxford, 1981
2. C. Castaing and M. Valadier, Convex Analysis and Measurable Multifunctions, Lecture Notes in Math. 580, Springer-Verlag, Berlin, Heidelberg, New York, 1977.
3. F. Clarke, Optimization and Nonsmooth Analysis, Wiley, New York, 1983.
4. J. Davy, Properties of the solution set of a generalized differential equation, Bull. Austral. Math. Soc., 6 (1972), 379-398.
5. A. F. Filippov, Classical solutions of differential equations with multivalued righthand side, SIAM J. Control, 5 (1967), 609-621.
6. A. Fryszkowski, Continuous selections for a class of nonconvex multivalued maps, Studia Math. 76 (1983), 163-174.
7. E. Klein and A. Thompson, Theory of Correspondences, Wiley, New York, 1984.
8. I. Kluvanek and G. Knowles, Vector Measures and Control Systems, North Holland, Amsterdam, Oxford, 1976.
9. K. Kuratowski, Topology I, Academic Press, New York, 1966.
10. U. Mosco, Convergence of convex sets and of solutions of variational inequalities Advances in Math. 3 (1969), 510-585.
11. G. Pianigiani, On the fundamental theory of multivalued differential equations, J. Differential Equations, 25 (1977), 30-38.
12. A. Pliss, Trajectories and quasitrajectories of an orientor field, Bull. Polish Academy of Sciences, 10 (1962), 529-531.
13. N. S. Papageorgiou, On the theory of Banach space valued multifunctions. Part I: Integration and conditional expectation, J. Multivariate Anal, 17 (1985), 185-206.
14. N. S. Papageorgiou, Random differential inclusions in Banach spaces, J. Differential Equations, 65 (1986), 287-303.
15. R. T. Rockafellar, Integral functionals, normal integrands and measurable selections, in Nonlinear Operators and the Calculus of Variations, L. Waelbroeck, Ed., Lecture Notes in Math. 543, Springer-Verlag, Berlin, Heidelberg, New York, 1976, 157-207.
16. G. Salinetti and R. Wets, On the relation between two types of convergence for convex functions, J. Math. Anal. Appl. 60 (1977), 211-226.
17. A. Tolstonogov, On differential inclusions in Banach spaces and continuous selections, Soviet Math. Doklady, 20 (1979), 186-190.
18. M. Tsukada, Convergence of best approximations in a smooth Banach space, J. Approx. Theory, 40 (1984), 301-309.
19. D. Wagner, Survey of measurable selection theorems, SIAM Jour. Control Optim, 15 (1977), 859-903.
20. T. Wazewski, Sur une generalisation de la notion des solutions d’une equation au con¬tingent, Bull. Polish Academy of Sciences, 10 (1962), 11-15.
21. R. Wets, A formula for the level sets of epi-limits and some applications, in Mathe¬matical Theories of Optimization, J. Cecconi and T. Zolezzi, Eds., Lecture Notes in Math. 976, Berlin, Heidelberg, New York, 1983, 256-268.