Convexity of the orientor field and the solution set of a class of evolution inclusions

Nikolaos S. Papageorgiou

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 5, page 593-615
  • ISSN: 0232-0525

How to cite

top

Papageorgiou, Nikolaos S.. "Convexity of the orientor field and the solution set of a class of evolution inclusions." Mathematica Slovaca 43.5 (1993): 593-615. <http://eudml.org/doc/34369>.

@article{Papageorgiou1993,
author = {Papageorgiou, Nikolaos S.},
journal = {Mathematica Slovaca},
keywords = {semilinear evolution inclusions; orientor field; existence theorem; nonconvex problem; Filippov-Gronwall type theorem},
language = {eng},
number = {5},
pages = {593-615},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Convexity of the orientor field and the solution set of a class of evolution inclusions},
url = {http://eudml.org/doc/34369},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Papageorgiou, Nikolaos S.
TI - Convexity of the orientor field and the solution set of a class of evolution inclusions
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 5
SP - 593
EP - 615
LA - eng
KW - semilinear evolution inclusions; orientor field; existence theorem; nonconvex problem; Filippov-Gronwall type theorem
UR - http://eudml.org/doc/34369
ER -

References

top
  1. AUBIN J.-P., EKELAND I., Applied Nonlinear Analysis, Wiley, New York, 1984. (1984) Zbl0641.47066MR0749753
  2. BARBU V., Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff International Publishing, Leiden, 1976. (1976) MR0390843
  3. BISMUT J.-M., Integrales convexes et probabilités, J. Math. Anal. Appl. 42 (1973), 639-673. (1973) Zbl0268.60003MR0324734
  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. (1990) Zbl0719.34031MR1061215
  5. DeBLASI F.-MYJAK J., On continuous approximations for multifunctions, Pacific J. Math. 123 (1986), 9-31. (1986) MR0834135
  6. DIESTEL J., UHL J. J., Vector Measures, Math. Surveys Monographs 15, Amer. Math. Soc, Providence, RI, 1977. (1977) Zbl0369.46039MR0453964
  7. FILIPPOV A., Classical solutions of differential equations with multivalued right hand side, SIAM J. Control Optim. 5 (1967), 609-621. (1967) MR0220995
  8. FRYSZKOWSKI A., Continuous selections for a class of nonconvex multivalued maps, Studia Math. 76 (1983), 163-174. (1983) MR0730018
  9. HEWITT E., STROMBERG K., Real and Abstract Analysis, Graduate Texts in Math. Vol. 25. (3th edition), Springer, New York, 1975. (1975) Zbl0307.28001MR0367121
  10. HIMMELBERG C., Measaurable relations, Fund. Math. 87 (1975), 52-72. (1975) MR0367142
  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. (1989) Zbl0677.28005MR0983479
  12. KLEIN E., THOMPSON A., Theory of Correspondences, Wiley, New York, 1984. (1984) Zbl0556.28012MR0752692
  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. (1986) 
  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. (1990) MR1043741
  15. PAPAGEORGIOU N. S., Convergence theorems for Banach space valued integrable multifunction, Internat. J. Math. Math. Sci. 10 (1987), 433-442. (1987) MR0896595
  16. PAPAGEORGIOU N. S., Measurable multifunctions and their applications to convex integral functions, Internat. J. Math. Math. Sci. 12 (1987), 175-192. (1987) MR0973087
  17. PAPAGEORGIOU N. S., On measurable multifunctions with applications to random multivalued equations, Math. Japon. 32 (1987), 437-464. (1987) Zbl0634.28005MR0914749
  18. PAPAGEORGIOU N. S., On multivalued evolution and differential inclusions in Banach spaces, Comment. Math. Univ. St. Paul. 36 (1987), 21-39. (1987) MR0892378
  19. PAPAGEORGIOU N. S., Decomposable sets in the Lebesgue-Bochner spaces, Comment. Math. Univ. St. Paul. 37 (1988), 49-62. (1988) Zbl0679.46032MR0942305
  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. (1985) MR0808276
  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. (1971) MR0407678
  22. TANABE H., Equations in Evolution, Pitman, London, 1979. (1979) 
  23. WAGNER D., Survey of measurable selection theorems, SIAM J. Control Optim. 15 (1977), 859-903. (1977) Zbl0407.28006MR0486391
  24. ZEIDLER E., Nonlinear Functional Analysis and its Applications II, Springer, New York, 1990. (1990) Zbl0684.47029MR0816732
  25. FRANKOWSKA H., A priori estimates for operational differential inclusions, J. Differential Equations 84 (1990), 100-128. (1990) Zbl0715.49010MR1042661
  26. TOLSTONOGOV A., On the properties of integral solutions with m-accertive operators, Soviet. Math. Notes 49 (1991), 119-131. (1991) MR1135523

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.