Previous |  Up |  Next


Title: Approximation from the exterior of Carathéodory multifunctions (English)
Author: Benassi, Carlo
Author: Gavioli, Andrea
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 39
Issue: 1
Year: 2000
Pages: 17-35
Category: math
MSC: 28B20
MSC: 52A27
MSC: 54C60
idZBL: Zbl 1041.28009
idMR: MR1826350
Date available: 2009-01-29T15:56:22Z
Last updated: 2012-05-03
Stable URL:
Reference: [1] Andres J., Gabor G., Górniewicz L.: Acyclicity of Solution Sets to Functional Inclusions.Nonlin. Anal., (to appear). Zbl 1012.34011, MR 1894303
Reference: [2] Aubin J. P., Cellina A.: Differential Inclusions. Set-valued Maps and Viability Theory.Springer Verlag, Berlin, 1984. Zbl 0538.34007, MR 0755330
Reference: [3] Benassi C., Gavioli A.: Approximation from the exterior of a multifunction with connected values defined on an interval.Atti Sem. Mat. Fis. Univ. Modena 42 (1994), 237-252. Zbl 0873.54021, MR 1282339
Reference: [4] Benassi C., Gavioli A.: Approximation from the exterior of multifunctions with connected values.Set-Valued Analysis 2 (1994), 487-503. Zbl 0826.26012, MR 1308481
Reference: [5] Castaing C., Valadier M.: Convex Analysis and Measurable Multifunctions.Lecture Notes in Mathematics 580, Springer Verlag, Berlin, 1977. Zbl 0346.46038, MR 0467310
Reference: [6] De Blasi F.: Characterization of certain classes of semicontinuous multifunctions by continuous approximations.J. Math. Anal. Appl. 106 (1985), 1-18. MR 0780314
Reference: [7] De Blasi F. S., Myjak J.: On the solution sets for differential inclusions.Bull. Polish Acad. Sci. 33 (1985), 17-23. MR 0798723
Reference: [8] Deimling K.: Multivalued Differential Equations.De Gruyter series in Nonlinear Analysis and Applications, Berlin, 1992. Zbl 0820.34009, MR 1189795
Reference: [9] El Arni A.: Multifonctions séparément mesurables et séparément sémicontinues inférieurement.Doctoral thesis, Université des Sciences et techniques du Languedoc, Montpellier, 1986.
Reference: [10] Gavioli A.: Approximation from the exterior of a multifunction and its applications in the "sweeping process".J. Differential Equations 92, 2 (1991), 373-383. Zbl 0744.41018, MR 1120911
Reference: [11] Górniewicz L.: Topological approach to differential inclusions.In: Topological Methods in Differential Equations and Inclusions, ed. by A. Granas and M. Frigon, Kluwer Academic Publishers, Dordrecht-Boston-London, 1995. MR 1368672
Reference: [12] Haddad G.: Topological properties of the sets of solutions for functional differential inclusions.Nonlinear Anal. 5 (1981), 1349-1366. Zbl 0496.34041, MR 0646220
Reference: [13] Ionescu Tulcea C.: On the approximation of upper semicontinuous correspondences and the equilibrium of generalized games.J. Math. Anal. Appl. 136 (1988), 267-289. MR 0972598


Files Size Format View
ActaOlom_39-2000-1_2.pdf 1.465Mb application/pdf View/Open
Back to standard record
Partner of
EuDML logo