DIRECT AND INVERSE SPECTRAL ASSIGNMENT FOR THE OPERATOR STURM-LIUOVILLE TYPE WITH LINEAR DELAY
In this paper we constructed the solution of the spectral boundary problem on 0, with zero initial function and separated boundary conditions. In this work, characteristic function is constructed and asymptotics of its large zeroes and igenvalues asymptotics of the operator are found. In the second part of this paper, it is assumed that two sets of eigenvalues are given when 0. Under certain conditions of the linear delay, the parameters of operators are found. It means that we solved the inverse spectral problem using a Fourier's series method.
Characteristic Function, Asymptotic Zero, Linear Delay, Potential