On the density of extremal solutions of differential inclusions
Annales Polonici Mathematici (1992)
- Volume: 56, Issue: 2, page 133-142
- ISSN: 0066-2216
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top- [1] A. Antosiewicz and A. Cellina, Continuous selections and differential relations, J. Differential Equations 19 (1975), 386-398.
- [2] J. P. Aubin and A. Cellina, Differential Inclusions, Springer, Berlin 1984. Zbl0538.34007
- [3] S. Bahi, Quelques propriétés topologiques de l'ensemble des solutions d'une classe d'équations différentielles multivoques (II), Séminaire d'Analyse Convexe, Montpellier, 1983, exposé No. 4.
- [4] A. Bressan and G. Colombo, Generalized Baire category and differential inclusions in Banach spaces, J. Differential Equations 76 (1988), 135-158. Zbl0655.34013
- [5] C. Castaing and M. Valadier, Convex Analysis and Measurable Multifunctions, Lecture Notes in Math. 580, Springer, Berlin 1977.
- [6] G. Choquet, Lectures on Analysis, Benjamin, Reading 1969.
- [7] P. V. Chuong, Un résultat d'existence de solutions pour des équations différentielles multivoques, C. R. Acad. Sci. Paris 301 (1985), 399-402. Zbl0581.34012
- [8] F. S. De Blasi and G. Pianigiani, A Baire category approach to the existence of solutions of multivalued differential equations in Banach spaces, Funkcial. Ekvac. (2) 25 (1982), 153-162. Zbl0535.34009
- [9] F. S. De Blasi and G. Pianigiani, The Baire category method in existence problems for a class of multivalued differential equations with nonconvex right hand side, Funkcial. Ekvac. 28 (1985), 139-156. Zbl0584.34007
- [10] F. S. De Blasi and G. Pianigiani, Differential inclusions in Banach spaces, J. Differential Equations 66 (1987), 208-229. Zbl0609.34013
- [11] A. F. Filippov, The existence of solutions of generalized differential equations, Math. Notes 10 (1971), 608-611. Zbl0265.34074
- [12] A. N. Godunov, Peano's theorem in Banach spaces, Funktsional. Anal. i Prilozhen. 9 (1) (1974), 59-60 (in Russian).
- [13] H. Kaczyński and C. Olech, Existence of solutions of orientor fields with nonconvex right hand side, Ann. Polon. Math. 29 (1974), 61-66. Zbl0285.34008
- [14] N. S. Papageorgiou, On the solution set of differential inclusions in Banach spaces, Appl. Anal. 25 (1987), 319-329. Zbl0623.34062
- [15] N. S. Papageorgiou, On measurable multifunctions with applications to random multivalued equations, Math. Japon. 32 (1987), 437-464. Zbl0634.28005
- [16] G. Pianigiani, On the fundamental theory of multivalued differential equations, J. Differential Equations 25 (1977), 30-38. Zbl0398.34017
- [17] A. A. Tolstonogov, On differential inclusions in Banach spaces, Soviet Math. Dokl. 20 (1979), 186-190. Zbl0439.34052