Recovering differential operators with two constant delays under Dirichlet/Neumann boundary conditions

被引:5
|
作者
Vojvodic, Biljana M. [2 ]
Vladicic, Vladimir M. [1 ]
机构
[1] Univ East Sarajevo, Fac Philosophy, Alekse Santica 1, East Sarajevo, Republic Of Srp, Bosnia & Herceg
[2] Univ Banja Luka, Fac Mech Engn, Vojvode Stepe Stepanovica 1, Banja Luka, Republic Of Srp, Bosnia & Herceg
来源
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2020年 / 28卷 / 02期
关键词
Differential operators with delays; inverse spectral problems; Fourier trigonometric coefficients; STURM-LIOUVILLE TYPE; INVERSE PROBLEM;
D O I
10.1515/jiip-2019-0074
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 differential operators with two constant delays generated by -y '' + q(1)(x)y(x - tau(1)) + (-1)(i) q2(x)y(x - tau(2)), where pi/3 <= tau(2) < pi/2 < 2 tau(2) <= tau(2) < tau(1) <pi and potentials q(j) are real-valued functions, q(j) is an element of L-2 [0, pi]. We will prove that the delays and the potentials are uniquely determined from the spectra of four boundary value problems: two of them under boundary conditions y(0) = y(pi) = 0 and the remaining two under boundary conditions y(0) = y' (pi) = 0.
引用
收藏
页码:237 / 241
页数:5
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