Lower semicontinuous differential inclusions

• Autorzy: Tzanko Donchev
• Języki publikacji: EN

Abstrakty

EN

In the paper we consider lower semicontinuous differential inclusions with one sided Lipschitz and compact valued right hand side in a Banach space with uniformly convex dual. We examine the nonemptiness and some qualitative properties of the solution set.

Słowa kluczowe

EN

differential inclusions; one sided Lipschitz multifunctions

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 1998
• Tom: 18
• Numer: 1-2
• Strony: 19-25

Daty

wydano

1998

otrzymano

1998-04-09

Twórcy

autor

Tzanko Donchev

• Department of Mathematics, University of Mining and Geology, 1100 Sofia, Bulgaria

Bibliografia

• [1] A. Bressan, Upper and lower semicontinuous differential inclusions. A unified approach, in Nonlinear Controllability and Optimal Control (H.Sussman ed.) M. Dekker (1990), 21-31.
• [2] A. Bressan and G. Colombo, Selections and representations of multifunctions in paracompact spaces, Studia Math. 102 (1992), 209-216.
• [3] A. Bressan and G. Colombo, Extensions and selections of maps with decomposable values, Studia Math. 90 (1988), 69-86.
• [4] K. Deimling, Multivalued differential equations, De Gruyter Berlin 1992.
• [5] T. Donchev, Lower semicontinuous differential inclusions. One-sided Lipschitz approach, Colloq. Math. 74 (1997), 177-184.
• [6] T. Donchev, Semicontinuous differential inclusions, Rend. Sem. Mat. Univ. Padova - to appear.
• [7] T. Donchev and V. Angelov, Regular and singular perturbations of upper semicontinuous differential inclusions, Itern. J. Math & Math. Sci. 20 (1997), 699-706.
• [8] A. Tolstonogov, Differential Inclusions in Banach Spaces, Novosibirsk 1986 (Russian).