We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Inverse Problems for Sturm–Liouville-Type Differential Equation with a Constant Delay Under Dirichlet/Polynomial Boundary Conditions.
- Authors
Vladičić, Vladimir; Bošković, Milica; Vojvodić, Biljana
- Abstract
The topic of this paper are non-self-adjoint second-order differential operators with constant delay generated by - y ′ ′ + q (x) y (x - τ) where potential q is complex-valued function, q ∈ L 2 [ 0 , π ] . We study inverse problems of these operators for τ ∈ 2 π 5 , π . We investigate the inverse spectral problems of recovering operators from their two spectra, firstly under Dirichlet–Dirichlet and second under Dirichlet/Polynomial boundary conditions. We will prove theorem of uniqueness, and we will give procedure for constructing potential. In the first case, for τ ∈ π 2 , π : we will show that Fourier coefficients of a potential are uniquely0 determined by spectra. In the second case for τ ∈ 2 π 5 , π 2 , we will construct integral equation under potential and we will prove that this integral equation has a unique solution. Also, we will show that other parameters are uniquely determined by spectra.
- Subjects
DIFFERENTIAL operators; INTEGRAL equations; POLYNOMIALS; DELAY differential equations; INVERSE problems
- Publication
Bulletin of the Iranian Mathematical Society, 2022, Vol 48, Issue 4, p1829
- ISSN
1018-6301
- Publication type
Article
- DOI
10.1007/s41980-021-00616-5