Abstract
We consider two continuous selection problems related to the differential inclusion\(\dot x\) ∈F(t, x). Assuming thatF is Hölder or Lipschitz continuous with compact, not necessarily convex values, we provide estimates on the modulus of continuity of these selections.
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Bressan, A., Ancona, F. Moduli of continuity of selections from nonconvex maps. Set-Valued Anal 1, 47–63 (1993). https://doi.org/10.1007/BF01039290
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DOI: https://doi.org/10.1007/BF01039290