| Title:
|
On the existence of $\psi$-minimal viable solutions for a class of differential inclusions (English) |
| Author:
|
Papageorgiou, Nikolaos S. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
27 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
175-182 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A60 |
| idZBL:
|
Zbl 0759.34014 |
| idMR:
|
MR1189213 |
| . |
| Date available:
|
2008-06-06T06:23:27Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107419 |
| . |
| Reference:
|
[1] J. P.Aubin: Slow and heavy viable trajectories of controlled problems. Smooth viability domain.In Multifunction and Integrals, ed. G. Salinetti, Lecture Notes in Math., vol. 1091, Springer, Berlin (1984), 105-116. MR 0785578 |
| Reference:
|
[2] J. P. Aubin A. Cellina: Differential Inclusions.Springer, Berlin (1984). MR 0755330 |
| Reference:
|
[3] J. P. Aubin I. Ekeland: Applied Analysis.Wiley, New York (1984). MR 0749753 |
| Reference:
|
[4] K. Deimling: Multivalued differential equations on closed sets.Diff. and Integral Equations 1 (1988), 23-30. Zbl 0715.34114, MR 0920486 |
| Reference:
|
[5] J. P. Delahaye J. Denel: The continuities of the point to set maps, definitions and equivalences.Math. Progr. Study 10 (1979), 8-12. |
| Reference:
|
[6] M. Falcone P. Saint-Pierre: Slow and quasislow solutions of differential inclusions.Nonl. Anal. - T.M.A. 11 (1987), 367-377. MR 0881724 |
| Reference:
|
[7] C. Henry: Differential equations with discontinuous right hand side for planning procedures.J. Econ. Theory 4 (1972), 545-551. MR 0449534 |
| Reference:
|
[8] F. Hiai H. Umegaki: Integrals, conditional expectations and martingales of multivalued functions.J. Mult. Anal. 7 (1977), 149-182. MR 0507504 |
| Reference:
|
[9] E. Klein A. Thompson: Theory of Correspondences.Wiley, New York (1984). MR 0752692 |
| Reference:
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[10] K. Kuratowski: Topology I.Academic Press, New York (1966). MR 0217751 |
| Reference:
|
[11] U. Mosco: Convergence of convex sets and of solutions of variational inequalities.Adv. Math. 3 (1969), 510-585. Zbl 0192.49101, MR 0298508 |
| Reference:
|
[12] N. S. Papageorgiou: Convergence of Banach space valued integrable multifunction.Intern. J. Math and Math. Sci 10 (1987), 433-442. MR 0896595 |
| Reference:
|
[13] N. S. Papageorgiou: Viable and periodic solutions for differential inclusions in Banach spaces.Kobe J. Math. 5 (1988), 29-42. Zbl 0674.34014, MR 0988577 |
| Reference:
|
[14] T. Zolezzi: Well posedness and stability analysis in optimization.in the Proceedings of the "Fermat Days", ed. J.-B. Hiriat-Urruty, North Holland, New York (1986), 305-320. Zbl 0624.49011, MR 0874371 |
| . |
