THE EXISTENCE OF SOLUTION OF THE INVERSE SPECTRAL PROBLEM FOR DISCRETE SELF-ADJOINT SEMI-BOUNDED FROM BELOW OPERATOR

Abstract

Inverse spectral problems have many applications in engineering and physics. It was investigated for a variety of tasks specific operators. In this article explores the inverse spectral problem for abstract discrete self-adjoint semi-bounded from below operator. Using the resolvent method and principle of the contraction mapping theorem of the existence of the inverse problem solution is proved.