The Baire category method in existence problems for a class of multivalued differential equations with nonconvex right-hand side

1 Antosiewicz, A.; Cellina, A. Continuous selections and differential relations J. Differential Equations 19 1975 386-398 MR0430368 100 Cache/An/Antosiewicz,Continuous,J*,1975,1976

2 Castaing, C.; Valadier, M. Équations différentielles multivoques dans les espaces vectoriels localement convexes Rev. Française Informat. Recherche Opérationnelle 3 1969 3-16 MR0247237 100 Cache/Ca/Castaing,*,Rev*,1969,1970

3 Cellina, A. On the differential inclusion $\dot{x}\in[-1,1]$ Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. Serie VIII VIII 69 1980 1-6 MR0641583 85 Cache/Ce/Cellina,the,Atti*,1980,1981

4 Daures, J. P. Contributions à l'étude des équations différentielles multivoques dans les espaces de Banach C.R. Acad. Sci. Paris Sér. A-B A-B 270 1970 769-772 MR0268492 100 Cache/Da/Daures,Contributions,C*,1970,1971

5 De Blasi, F. S. Existence and stability of solutions for autonomous multivalued differential equations in Banach spaces Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. Serie VIII VIII 69 1976 767-774 MR0481328 100 Cache/De/De Blasi,multivalued,Atti*,1976,1977

6 De Blasi, F. S.; Pianigiani, G. A Baire category approach to the existence of solutions of multivalued differential equations in Banach spaces Funkcial. Ekvac. 2 25 1982 153-162 MR0694909 0694909 100 Cache/De/De Blasi,multivalued,Funkcial*,1982,1983

7 De Blasi, F. S.; Pianigiani, G. Remarks on Hausdorff continuous multifunctions and selections Comment. Math. Univ. Carolinae. 24 1983 553-561 MR0730150 100 Cache/De/De Blasi,multifunctions,Comment*,1983,1984

8 De Blasi, F. S.; Pianigiani, G., The Baire category method in existence problems for multivalued differential equations, Rapporto interno (1982/1983), Istituto di matematica, Università di Udine 9 Dugundji, J. Topology Allyn and Bacon, Boston 1966 MR0193606 100 Cache/Du/Dugundji,Topology,*,1966,1967 xvi+447

10 Filippov, A. F. Classical solutions of differential equations with multivalued right-hand side SIAM J. Control 5 1967 609-621 MR0220995 88 Cache/Fi/Filippov,Classical,SIAM*,1967,1968

11 Filippov, A. F. The existence of solutions of generalized differential equations Math. Notes 10 1971 608-611 MR0298090 Cache/Fi/Filippov,generalized,Math*,1971,1972

12 Godunov, A. N. The Peano's theorem in Banach spaces Funkcional. Anal, i Priložen 9 1971 59-60 MR0364797 Cache/Go/Godunov,Peano's,Funkcional*,1971,1972

13 Godunov, A. N. Peano's theorem in an infinite dimensional Hilbert space is false even in a weakened formulation Math. Notes 15 1974 273-279 MR0352640 Cache/Go/Godunov,dimensional,Math*,1974,1975

14 Hermes, H. The generalized differential equation $\dot{x}\in R(t,x)$ Advances in Math. 4 1970 149-169 MR0252722 85 Cache/He/Hermes,generalized,Advances*,1970,1971

15 Hille, E.; Phillips, R. S. Functional analysis and semigroups Colloquium Publications American Mathematical Society, Colloquium Publications, Vol. XXXI, Providence 1957 MR0089373 75 Cache/Hi/Hille,Functional,*,1957,1958 xii+808

16 Himmelberg, C. J. Measurable relations Fund. Math. 87 1975 53-72 MR0367142 100 Cache/Hi/Himmelberg,Measurable,Fund*,1975,1976

17 Kaczyński, H.; Olech, C. Existence of solutions of orientor fields with non-convex right-hand side Ann. Polon. Math. 29 1974 61-66 MR0358513 100 Cache/Ka/Kaczy\'nski,non-convex,Ann*,1974,1975

18 Muhsinov, A. M. On differential inclusions in Banach spaces Soviet Math. Dokl. 15 1974 1122-1125 MR0355591 Cache/Mu/Muhsinov,On,Soviet*,1974,1975

19 Olech, O. Existence of solutions of non-convex orientor fields Boll. Un. Mat. Ital. (4) 4 11 1975 189-197 MR0394372 100 Cache/Ol/Olech,non-convex,Boll*,1975,1976

20 Pianigiani, G. A density result for differential equations in Banach spaces Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 26 1978 791-793 MR0518980 100 Cache/Pi/Pianigiani,density,Bull*,1978,1979

21 Rådström, H. An embedding theorem for spaces of convex sets Proc. Amer. Math. Soc. 3 1952 165-169 MR0045938 Cache/Ra/R\aa dstr\",embedding,Proc*,1952,1953

22 Tolstonogov, A. A. On differential inclusions in Banach spaces and continuous selections Soviet Math. Dokl. 20 1979 186-190 MR0522051 Cache/To/Tolstogonov,On,Soviet*,1979,1980