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

• Autorzy: Vladimir V. Goncharov
• Języki publikacji: 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.

Słowa kluczowe

EN

differential inclusions; tangential conditions; noncompact Lipschitzean right-hand side

Kategorie tematyczne

• 34A60: Differential inclusions
• 34G20: Nonlinear equations

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 1996
• Tom: 16
• Numer: 2
• Strony: 103-120

Daty

wydano

1996

Twórcy

autor

Vladimir V. Goncharov

• 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.