In this work, we construct the transformation operator for the infinite system of the difference equationswhere a n 0, b n , c n (n = 1, 2, 3, ...) are given complex numbers, investigate some important properties of the special solutions of the difference system.
The present paper studies uniqueness properties of the solution of the inverse problem for the SturmLiouville equation with discontinuous leading coefficient and the separated boundary conditions. It is proved that the considered boundary-value is uniquely reconstructed, i.e. the potential function of the equation and the constants in the boundary conditions are uniquely determined by given Weyl function or by the given spectral data.
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