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On the differential inclusion \(x^\prime\in[-1, +1]\). (English) Zbl 0922.34009
It is proved that the set \(K_0\) of solutions to the equation \(x'\in(-1,+1)\), \(x(0)=0\), is a subset of first category of the set \(K\) of solutions \(x'\in[-1,+1]\).

MSC:
34A60 Ordinary differential inclusions
49J50 Fréchet and Gateaux differentiability in optimization
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