| Title:
|
Convexity of the orientor field and the solution set of a class of evolution inclusions (English) |
| Author:
|
Papageorgiou, Nikolaos S. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
43 |
| Issue:
|
5 |
| Year:
|
1993 |
| Pages:
|
593-615 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A60 |
| MSC:
|
34G20 |
| MSC:
|
49J24 |
| idZBL:
|
Zbl 0799.34018 |
| idMR:
|
MR1273713 |
| . |
| Date available:
|
2009-09-25T10:52:19Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136593 |
| . |
| Reference:
|
[1] AUBIN J.-P., EKELAND I.: Applied Nonlinear Analysis.Wiley, New York, 1984. Zbl 0641.47066, MR 0749753 |
| Reference:
|
[2] BARBU V.: Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff International Publishing.Leiden, 1976. MR 0390843 |
| Reference:
|
[3] BISMUT J.-M.: Integrales convexes et probabilités.J. Math. Anal. Appl. 42 (1973), 639-673. Zbl 0268.60003, MR 0324734 |
| Reference:
|
[4] CELLINA A., ORNELAS A.: Convexity and the closure of the solution set to differential inclusions.Boll. Un. Mat. Ital. B 4 (1990), 255-263. Zbl 0719.34031, MR 1061215 |
| Reference:
|
[5] DeBLASI F.-MYJAK J.: On continuous approximations for multifunctions.Pacific J. Math. 123 (1986), 9-31. MR 0834135 |
| Reference:
|
[6] DIESTEL J., UHL J. J.: Vector Measures.Math. Surveys Monographs 15, Amer. Math. Soc, Providence, RI, 1977. Zbl 0369.46039, MR 0453964 |
| Reference:
|
[7] FILIPPOV A.: Classical solutions of differential equations with multivalued right hand side.SIAM J. Control Optim. 5 (1967), 609-621. MR 0220995 |
| Reference:
|
[8] FRYSZKOWSKI A.: Continuous selections for a class of nonconvex multivalued maps.Studia Math. 76 (1983), 163-174. MR 0730018 |
| Reference:
|
[9] HEWITT E., STROMBERG K.: Real and Abstract Analysis.Graduate Texts in Math. Vol. 25. (3th edition), Springer, New York, 1975. Zbl 0307.28001, MR 0367121 |
| Reference:
|
[10] HIMMELBERG C.: Measaurable relations.Fund. Math. 87 (1975), 52-72. MR 0367142 |
| Reference:
|
[11] KANDILAKIS D., PAPAGEORGIOU N. S.: On the properties of the Aumann integral with applications to differential inclusions and control systems.Czechoslovak Math. J. 39 (1989), 1-15. Zbl 0677.28005, MR 0983479 |
| Reference:
|
[12] KLEIN E., THOMPSON A.: Theory of Correspondences.Wiley, New York, 1984. Zbl 0556.28012, MR 0752692 |
| Reference:
|
[13] NAGY E.: A theorem on compact embedding for functions with values in an infinite dimensional Hilbert space.Ann. Univ. Sci. Budapest, Eotvos Sect. Math. 29 (1986), 243-245. |
| Reference:
|
[14] PAPAGEORGIOU N. S.: Relaxation and existence of optimal controls for systems governed by evolution inclusions in separable Banach spaces.J. Optim. Theory Appl. 64 (1990), 573-594. MR 1043741 |
| Reference:
|
[15] PAPAGEORGIOU N. S.: Convergence theorems for Banach space valued integrable multifunction.Internat. J. Math. Math. Sci. 10 (1987), 433-442. MR 0896595 |
| Reference:
|
[16] PAPAGEORGIOU N. S.: Measurable multifunctions and their applications to convex integral functions.Internat. J. Math. Math. Sci. 12 (1987), 175-192. MR 0973087 |
| Reference:
|
[17] PAPAGEORGIOU N. S.: On measurable multifunctions with applications to random multivalued equations.Math. Japon. 32 (1987), 437-464. Zbl 0634.28005, MR 0914749 |
| Reference:
|
[18] PAPAGEORGIOU N. S.: On multivalued evolution and differential inclusions in Banach spaces.Comment. Math. Univ. St. Paul. 36 (1987), 21-39. MR 0892378 |
| Reference:
|
[19] PAPAGEORGIOU N. S.: Decomposable sets in the Lebesgue-Bochner spaces.Comment. Math. Univ. St. Paul. 37 (1988), 49-62. Zbl 0679.46032, MR 0942305 |
| Reference:
|
[20] PAPAGEORGIOU N. S.: On the theory of Banach's space valued integrable multifunctions. Part 1: Integration and conditional expectation.J. Multivariate Anal. 17 (1985), 185-206. MR 0808276 |
| Reference:
|
[21] ROCKAFELLAR R. T.: Weak compactness of level sets of integral functions.In: Proceedings of Troisiĕme Colloque d'Analyse Fonctionnelle (CBRM) (H. Garnir, ed.), Liege, Belgium, 1971. MR 0407678 |
| Reference:
|
[22] TANABE H.: Equations in Evolution.Pitman, London, 1979. |
| Reference:
|
[23] WAGNER D.: Survey of measurable selection theorems.SIAM J. Control Optim. 15 (1977), 859-903. Zbl 0407.28006, MR 0486391 |
| Reference:
|
[24] ZEIDLER E.: Nonlinear Functional Analysis and its Applications II.Springer, New York, 1990. Zbl 0684.47029, MR 0816732 |
| Reference:
|
[25] FRANKOWSKA H.: A priori estimates for operational differential inclusions.J. Differential Equations 84 (1990), 100-128. Zbl 0715.49010, MR 1042661 |
| Reference:
|
[26] TOLSTONOGOV A.: On the properties of integral solutions with m-accertive operators.Soviet. Math. Notes 49 (1991), 119-131. MR 1135523 |
| . |
