| Title:
|
On the solution set of nonconvex subdifferential evolution inclusions (English) |
| Author:
|
Papageorgiou, Nikolaos S. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
481-500 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A60 |
| MSC:
|
34G20 |
| MSC:
|
34H05 |
| MSC:
|
35A07 |
| MSC:
|
49J20 |
| MSC:
|
49J52 |
| idZBL:
|
Zbl 0868.34010 |
| idMR:
|
MR1288166 |
| DOI:
|
10.21136/CMJ.1994.128477 |
| . |
| Date available:
|
2009-09-24T09:40:47Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128477 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[10] J. Diestel and J. Uhl: Vector Measures, Math Surveys, Vol. 15.A.M.S., Providence, R.I., 1977. MR 0453964 |
| Reference:
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[11] A. Fryszkowski: Continuous selections for a class of nonconvex multivalued maps.Studia Math 78 (1983), 163–174. MR 0730018, 10.4064/sm-76-2-163-174 |
| Reference:
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[12] C. Henry: Differential equations with discontinuous right-hand side for planning procedures.J. Econ. Theory 4 (1972), 545–551. MR 0449534, 10.1016/0022-0531(72)90138-X |
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[13] F. Hiai and H. Umegaki: Integrals, conditional expectations and martingales of multivalued functions.J. Multiv. Anal. 7 (1977), 149–182. MR 0507504, 10.1016/0047-259X(77)90037-9 |
| Reference:
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[14] R. Holmes: Geometric Functional Analysis and its Applications.Springer, Berlin, 1975. Zbl 0336.46001, MR 0410335 |
| Reference:
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[15] E. Klein and A. Thompson: Theory of Correspondences.Wiley, New York, 1984. MR 0752692 |
| Reference:
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[16] D. Kravvaritis and N. S. Papageorgiou: Multivalued perturbations of subdifferential type evolution equations in Hilbert spaces.J. Diff. Eqns. 76 (1988), 238–255. MR 0969423, 10.1016/0022-0396(88)90073-3 |
| Reference:
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[17] J.-J. Moreau: Evolution problem associated with a moving convex set in a Hilbert space.J. Diff. Eqns. 26 (1977), 347–374. MR 0508661, 10.1016/0022-0396(77)90085-7 |
| Reference:
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[18] N. S. Papageorgiou: On measurable multifunctions with applications to random multivalued equations.Math. Japonica 32 (1987), 437–464. Zbl 0634.28005, MR 0914749 |
| Reference:
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[19] N. S. Papageorgiou: Convergence theorems for Banach space valued integrable multifunctions.intern. J. Math and Math. Sci. 10 (1987), 433–442. Zbl 0619.28009, MR 0896595, 10.1155/S0161171287000516 |
| Reference:
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[20] N. S. Papageorgiou: Differential inclusions with state constraints.Proceedings of the Edinburgh Math. Soc. 32 (1989), 81–98. Zbl 0704.49009, MR 0981995, 10.1017/S0013091500006933 |
| Reference:
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[21] N. S. Papageorgiou: On evolution inclusions associated with time dependent convex subdifferentials.Comm. Math. Univ. Carol. 31 (1990), 517–527. Zbl 0711.34076, MR 1078486 |
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[22] A. Plis: Trajectories and quasi-trajectories of an orientor field.Bull. Acad. Polon. Sci. 10 (1962), 529–531. |
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[23] A. Tolstonogov: Extreme continuous selectors of multivalued maps and the bang-bang principle for evolution inclusions.Soviet Math. 317 (1991), 1–8. |
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[25] J. Watanabe: On certain nonlinear evolution equations.J. Math. Soc. Japan 25 (1973), 446–463. Zbl 0253.35053, MR 0326522, 10.2969/jmsj/02530446 |
| Reference:
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[26] S. Yotsutani: Evolution equations associated with subdifferentials.J. Math. Soc. Japan 31 (1978), 623–646. MR 0544681, 10.2969/jmsj/03140623 |
| . |
