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Approximation from the exterior of Carathéodory multifunctions

Carlo Benassi; Andrea Gavioli

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2000)

  • Volume: 39, Issue: 1, page 17-35
  • ISSN: 0231-9721

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Benassi, Carlo, and Gavioli, Andrea. "Approximation from the exterior of Carathéodory multifunctions." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 39.1 (2000): 17-35. <http://eudml.org/doc/23693>.

@article{Benassi2000,
author = {Benassi, Carlo, Gavioli, Andrea},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {measurable multifunction; Lipschitz multifunction; Carathéodory multifunction},
language = {eng},
number = {1},
pages = {17-35},
publisher = {Palacký University Olomouc},
title = {Approximation from the exterior of Carathéodory multifunctions},
url = {http://eudml.org/doc/23693},
volume = {39},
year = {2000},
}

TY - JOUR
AU - Benassi, Carlo
AU - Gavioli, Andrea
TI - Approximation from the exterior of Carathéodory multifunctions
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2000
PB - Palacký University Olomouc
VL - 39
IS - 1
SP - 17
EP - 35
LA - eng
KW - measurable multifunction; Lipschitz multifunction; Carathéodory multifunction
UR - http://eudml.org/doc/23693
ER -

References

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  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. (1994) Zbl0873.54021MR1282339
  4. Benassi C., Gavioli A., Approximation from the exterior of multifunctions with connected values, Set-Valued Analysis 2 (1994), 487-503. (1994) Zbl0826.26012MR1308481
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  7. De Blasi F. S., Myjak J., On the solution sets for differential inclusions, Bull. Polish Acad. Sci. 33 (1985), 17-23. (1985) MR0798723
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  9. El Arni A., Multifonctions séparément mesurables et séparément sémicontinues inférieurement, Doctoral thesis, Université des Sciences et techniques du Languedoc, Montpellier, 1986. (1986) 
  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. (1991) Zbl0744.41018MR1120911
  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. (1995) MR1368672
  12. Haddad G., Topological properties of the sets of solutions for functional differential inclusions, Nonlinear Anal. 5 (1981), 1349-1366. (1981) Zbl0496.34041MR0646220
  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. (1988) MR0972598

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