An Existence Theorem for Differential Inclusions Using the Kurzweil Integral

Priscilla Supnet Macansantos


We define solutions to the differential inclusion x(t) є F(t,x) in the Kurzweil sense, using the Kurzweil integral of a multifunction, and establish an existence theorem for these inclusions under a semicontinuity condition called Property (Q), and the assumption of integrable-boundedness.

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