and application to a multivalued boundary value problemReferences
- Aubin , J. and EKELAND , I. 1984 . Applied nonlinear analysis , Wiley .
- Balder , E.J. 1987 . Necessary and sufficient conditions for L 1-strong-weak lower semicontinuity of integral functionals . Nonlinear Anal , 12 : 1399 – 1404 .
- Borisovich , Y.G. , GEL'MAN , B.D. , MYSHKIS , A.D. and OBUKHOVSKII , V.V. 1984 . Multivalued mappings . J. Soviet Math , 24 : 719 – 791 .
- Diestel , J. and UHL, Jr , J.J. 1977 . Vector measures . Math. Survey , 15
- Erbe , L.H. and KRAWCEWICZ , W. Nonlinear boundary value problems for differential inclusions y″∈F(t,y,y′)
- Fan , K. 1952 . Fixed-point and minimax theorems in locally convex topological linear spaces . Proc. Nat. Acad. Sci , 38 : 121 – 126 .
- Granas , A. , GUNTHER , R.B. and LEE , J.W. 1988 . Some existence results for the differential inclusions y(k)∈F(x,y,...,y(k-1)), y∈B . C.R. Acad. Sci , 307 : 391 – 396 .
- Himmelberg , C.J. 1975 . Measurable relations . Fund. Math , 87 : 53 – 72 .
- Himmelberg , C.J. and F.S. VAN , Vleck . 1986 . Existence of solutions for generalized differential equations with unbounded right-hand side . J. Differential Equations , 61 : 295 – 320 .
- Kothe , G. 1969 . Topological vector spaces-I , Springer-Verlag .
- Kuratowski , K. and C.RYLL , Nardzewski . 1965 . A general theorem on selectors . Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys , 13 : 397 – 403 .
- Pruszko , T. 1984 . Some applications of the topological degree theory to multi-valued boundary value problems . Dissertationes Math , 229 : 1 – 48 .
- Ricceri , B. 1982 . Sur l'approximation des selections mesurables . C. R. Acad. Sci , 295 : 527 – 530 .
- Tsalyuk , V.Z. 1988 . Superposition measurability of multivalued functions . Math. Notes , 43 : 58 – 60 .