Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/9440
Title: A solution to the inverse problem for the Sturm-Liouville-type equation with a delay
Authors: Pikula, Milenko
Vladičić V.
Markovic, Olivera
Issue Date: 2013
Abstract: The paper is devoted to study of the inverse problem of the boundary spectral assignment of the Sturm-Liouville with a delay. -y″(x) + q(x)y(α · x) = λy(x); q ∈ AC[0; π];α ∈ (0, 1] (1) with separated boundary conditions: y(0) = y(π) = 0 (2) y(0) = y′(π) = 0 (3) It is argued that if the sequence of eigenvalues is given λn(1) n and λn(2) n tasks (1-2) and (1-3) respectively, then the delay factor α ∈ (0, 1) and the potential q ∈ AC[0, π] are unambiguous. The potential q is composed by means of trigonometric Fourier coefficients. The method can be easily transferred to the case of α = 1 i.e. to the classical Sturm-Liouville problem.
URI: https://scidar.kg.ac.rs/handle/123456789/9440
Type: article
DOI: 10.2298/FIL1307237P
ISSN: 0354-5180
SCOPUS: 2-s2.0-84888088347
Appears in Collections:Faculty of Teacher Education, Užice

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