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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