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1996 | 16 | 2 | 103-120
Tytuł artykułu

Co-density and other properties of the solution set of differential inclusions with noncompact right-hand side

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EN
Abstrakty
EN
There are studied two classes of differential inclusions with right-hand side admitting noncompact values in a Banach space. Co-density, lower semicontinuity in initial point and relaxation property of the solution set have been obtained.
Twórcy
  • Irkutsk Computing Center, Lermontov 134, 664033 Irkutsk, Russia
Bibliografia
  • [1] A.A. Tolstonogov, Differential inclusions in a Banach space, Nauka (Sib. otd.), Novosibirsk 1986 (in Russian).
  • [2] A.A. Tolstonogov, On density and co-density of a set of solutions of a differential inclusion in a Banach space, Dokl. AN SSSR 261 (1981), 293-296.
  • [3] G. Colombo, Weak flow-invariance for non-convex differential inclusions, Differential and Integral Equations 5 (1992), 173-180.
  • [4] Z. Kánnai, Viability theorems on strongly sleek tubes, Annales Univ. Sci. Budapest, Sect. Comp. 13 (1992), 63-75.
  • [5] A.A. Tolstonogov and V.V Goncharov, On solutions of differential inclusion with noncompact-valued right-hand side in a Banach space. Manuscript deposited in All-Union Research Institute of Thechnical Information, Moscow 1986 (in Russian).
  • [6] F. Riesz and B.SZ.-Nagy, Functional Analysis, Frederick Ungar Publishing CO., Budapest 1978.
  • [7] J.-P. Aubin and A. Cellina, Differential Inclusions, Set-valued Maps and Viability Theory, Springer-Verlag, Berlin 1984.
  • [8] C. Castaing and M. Valadier, Convex Analysis and Measurable Multifunctions, Lecture Notes in Mathematics 580, Springer-Verlag, Berlin 1977.
  • [9] C.J. Himmelberg, Measurable relations, Fund. Math. 87 (1975), 53-72.
  • [10] A. Fryszkowski, Continuous selections for a class of nonconvex multivalued maps, Studia Math. 76 (1983), 163-174.
  • [11] Phan van Chuong, A density theorem with an application in relaxation of nonconvex-valued differential equations, Seminare d'Analyse Convexe 15 (1985) 2.1-2.22.
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Bibliografia
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