Inverse problems for Sturm-Liouville differential operators with two constant delays under Robin boundary conditions

被引：7
|
作者：
Vojvodic, Biljana [1 ]
Pikula, Milenko [2 ]
Vladicic, Vladimir [2 ]
机构：
[1] Univ Banja Luka, Fac Mech Engn, Vojvode Stepe Stepanovica 71, Banja Luka 78000, Bosnia & Herceg
[2] Univ East Sarajevo, Dept Math, Alekse Santica 1, East Sarajevo 71123, Bosnia & Herceg
来源：
RESULTS IN APPLIED MATHEMATICS | 2020年 / 5卷
关键词：
Differential operators with delays; Inverse spectral problems; Fourier coefficients; TRACE;
D O I：
10.1016/j.rinam.2019.100082
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with non-self-adjoint second-order differential operators with two constant delays from [pi/2, pi) and two potentials from L-2 [0, pi]. We study the inverse spectral problem of recovering operators from their spectra. Four boundary value problems under Robin boundary conditions are considered. It has been proved that delays and the Fourier coefficients of potentials are uniquely determined from the spectra. Finally, potentials are constructed. (C) 2019 The Author(s). Published by Elsevier B.V.
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页数：7
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