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10. 4. 2017.
DIRECT AND INVERSE TASK FOR THE OPERATOR STURM-LIOUVILLE TYPE WITH LINEAR DELAY
Herzegovina Abstract This work is dedicated to solving the direct and inverse spectral task Sturm-Liouville type with linear delay and dispensed boundary conditions. Under the direct spectral assignment, we mean the construction of solutions . 2 2 y z y D = The aim of this paper is to solve the inverse task for the operator , 2 D which our knowledge is not known in the literature. We propose a new method. This method is based on the transformation of F in such a form that establishes a connection between the Fourier coefficients of a specific set of functions and values of their own operator , 2 D second. In this article, we will assume that .0 = h