Abstract.
The necessary and sufficient conditions for the approximate controllability and null-controllability by atomic functions are obtained for the string equation controlled by an external load on a recangular domain. The function of external load is presented as a scalar product of atomic functions and controls. The controls that solve these problems are found explicitly.
Keywords: wave equation, controllability problem, control of external load, Fourier transform, function of bounded variation.
Дончик Евгений Михайлович, старший преподаватель Академии внутренних войск МВД Украины, Харьков,
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