Classical solutions to differential inclusions with totally disconnected right-hand side
نویسندگان
چکیده
Let F = F(t, x) be a bounded, Hausdorff continuous multifunction with compact, totally disconnected values. Given any y0 ∈ F(t0, x0), we show that the differential inclusion ẋ ∈ F(t, x)⊂ Rm has a globally defined classical solution, with x(t0)= x0, ẋ(t0)= y0. © 2008 Elsevier Inc. All rights reserved.
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