Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Ismet Kalčo, Milenko Pikula and Fatih Destović
Pages: [51] - [71]
Received Date: January 17, 2017; Revised February 8, 20
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121759
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 
The aim of this paper is to solve the
inverse task for the operator 
which to 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 second. In this article, we will assume
that 
characteristic function, asymptotic zero, linear delay, potential, Fourier coefficients.
