Differential inclusions and abstract control problems

Bulletin of the Australian Mathematical Society

Volumn 53, Issue 1, 1996, Pages 109-122

  Cichoń, Mieczyław ^a  

^a ADAM MICKIEWICZ UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011186897     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0004972700016774     Document Type: Article

References (26)

1. J.-P. Aubin and A. Cellina, Differential inclusions (Springer-Verlag, Berlin, Heidelberg, New York, 1984).
2. J.-P. Aubin and I. Ekeland, Applied nonlinear analysis (J. Wiley, New York, 1984).
3. J.-P. Aubin and H. Frankowska, Set-Valued Analysis (Birkhäuser, Boston, Basel, Berlin, 1990).
4. J. Banás and K. Goebel, Measures of noncompactness in Banach spaces, Lecture Notes in Pure Applied Math. 60 (Marcel Dekker Inc., New York, Basel, 1980).
5. P. Cannarsa and H. Frankowska, 'Value functions and optimality conditions for semilinear control problem', Appl. Math. Optim. (to appear).
6. P. Cannarsa and H. Frankowska, 'Value functions and optimality conditions for semilinear control problems II: Parabolic case', IIASA WP-91-32 (1991).
7. C. Castaing and M. Valadier, Convex analysis and measurable multifunctions, Lecture Notes Math. 580 (Springer-Verlag, Berlin, Heidelberg, New York, 1977).
8. M. Cichoń, 'A point of view on measures of noncompactness', Demonstratio Math. 26 (1993), 767-777.
9. M. Cichoń, 'On measures of weak noncompactness', Publ. Math. Debrecen 45 (1994), 93-102.
10. F. S. DeBlasi, 'On a property of the unit sphere in a Banach space', Bull. Math. Soc. Sci. Math. R. S. Roumanie 21 (1977), 259-262.
11. K. Deimling, 'Multivalued differential equations with usc right-hand side', in Proc. Int. Conf. Theory and Applic. of Diff. Eqs I, (R. Aftabizadeh, Editor) (Ohio University Press, Athens, 1989), pp. 217-222.
12. K. Deimling, Multivalued differential equations (Walter de Gruyter, Berlin, New York, 1992).
13. K. Deimling and M. Rao, 'On solution sets of multivalued differential equations', Appl. Anal. 30 (1988), 129-135.
14. H. Frankowska, 'A priori estimates for operational differential inclusions', J. Differential Equations 84 (1990), 100-128.
15. H. Frankowska, Control of nonlinear systems and differential inclusions, (in press).
16. C. Hess, 'Measurability and integrability of the weak upper limit of a sequence of multifunctions', J. Math. Anal. Appl. 153 (1990), 226-249.
17. T. Kato, Perturbation theory for linear operators (Springer-Verlag, Berlin, Heidelberg, New York, 1966).
18. M. Kisielewicz, Differential inclusions and optimal control (PWN - Polish Scientific Publishers/ Kluwer Academic Publishers, Warsaw, London, 1991).
19. N.S. Papageorgiou, 'On the attainable set of differential inclusions and control systems', J. Math. Anal. Appl. 125 (1987), 305-322.
20. N.S. Papageorgiou, 'On multivalued evolution equations and differential inclusions in Banach spaces', Comment. Math. Univ. Sancti Pauli 36 (1987), 21-39.
21. N.S. Papageorgiou, 'On multivalued semilinear evolution equations', Boll. Un. Mat. Ital. B 3 (1989), 1-16.
22. S. Rolewicz, Functional analysis and control theory (PWN - Polish Scientific Publishers/D. Reidel Publ., Warsaw, Dordrecht, 1987).
23. M.S Shih and K.K. Tan, 'Covering theorems of convex sets related to fixed point theorems', in Nonlinear and convex analysis Proceedings in honor of Ky Fan, (B.L. Lin and S. Simon, Editors), Lecture Notes in Pure Applied Math. 107 (Marcel Dekker Inc., New York, Basel, 1987), pp. 235-244.
24. 1(μ, X)', Proc. Amer. Math. Soc. 113 (1991), 143-149.
25. I. I. Vrabie, Compactness methods for nonlinear evolutions, Pitman Monograph and Surveys in Pure and Applied Mathematics 32 (Longman, Boston, 1987).
26. A. A. Tolstonogov, Differential inclusions in a Banach space, (in Russian) (Izd. "Nauka", Moscow, 1986).