Journal of the Ramanujan Mathematical Society
Volume 32, Issue 3, September 2017 pp. 217–230.
Direct and inverse spectral assignment for the operator Sturm-Liuoville type with linear delay
Authors:
Ismet Kalco, Milenko Pikula, Dzevad Burgic and Fatih Destovic
Author institution:Polytechnic Faculty of the University of Zenica, Zenica, BA
Summary:
In this paper we constructed the solution of the spectral
boundary problem on [0, π] with zero initial function and separated
boundary conditions. In this work, characteristic function is constructed
and asymptotics of its large zeroes and eigenvalues asymptotics of the
operator are found. In the second part of this paper, it is assumed that two
sets of eigenvalues are given when h = 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.
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