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As out of a piece function y (t) is considered equal 0, justice of a condition (4 it is obvious. As for the free end of t=T/2, owing to the theorem 3 about the mobile ends (see ยง in relation to functionality (3 we can write down the corresponding restriction

Using terminology of the previous section, it is possible to speak that the objective is isoperimetric with the free ends, and subintegral expressions in (1 and (2 do not contain the s' (f) function.

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"" it would be necessary for performance of a condition that function did not address in zero in one point of a piece (0,T/, except t point = it is easy to check that among all values satisfying (3,4, only cases of k=0 and k =-1