We consider the inverse dynamical problem for the dynamical system with discrete time associated with the semi-infinite Jacobi matrix. We solve the inverse problem for such a system and answer a question on the characterization of the inverse data. As a by-product we give a necessary and sufficient condition for the measure on the real line line to be the spectral measure of semi-infinite discrete Schrodinger operator.

翻译：我们认为与半无限制的雅各比矩阵相关时间的动态系统存在反向动态问题。 我们解决了半无限制的雅各比矩阵的反向问题,并回答了关于反向数据定性的问题。 作为副产品,我们给实际线上的测量提供了必要和充分的条件,作为半无限制的离散施罗德操作员的光谱测量。