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• W2591008075 abstract "Let r > 0 be a flnite delay and C0 = C((ir;0);H) the Banach space of continuous vector-valued functions deflned on (ir;0) taking values in a real separable Hilbert space H. This paper is concerned with topological properties of solution sets for the functional difierential inclusion of sweeping process type: du dt 2 iNK(t)(u(t)) +F(t;ut) ; where K is a ∞-Lipschitzean multifunction from (0;T) to the set of nonempty compact convex subsets of H, NK(t)(u(t)) is the normal cone to K(t) at u(t) and F: (0;T)£C0!H is an upper semicontinuous convex weakly compact valued multifunction. As an appli- cation, we obtain periodic solutions to such functional difierential inclusions, when K is T-periodic, i.e. when K(0) = K(T) with T ‚ r." @default.
• W2591008075 created "2017-03-03" @default.
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• W2591008075 date "1997-01-01" @default.
• W2591008075 modified "2023-09-24" @default.
• W2591008075 title "Topological properties of solution sets for sweeping processes with delay." @default.
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