An inverse spectral problem for second-order functional-differential pencils with two delays

SA Buterin, MA Malyugina, CT Shieh - Applied Mathematics and …, 2021 - Elsevier
Recently, there appeared a considerable interest in inverse Sturm–Liouville-type problems
with constant delay. However, necessary and sufficient conditions for solvability of such …

Inverse problems for differential operators with two delays larger than half the length of the interval and Dirichlet conditions

B Vojvodic, M Pikula, V Vladicic… - Turkish Journal of …, 2020 - journals.tubitak.gov.tr
This paper deals with nonself-adjoint second-order differential operators with two constant
delays from $\left [\frac {\pi}{2},\pi\right) $ and two real-valued potentials from $ L_ {2}[0,\pi] …

[HTML][HTML] Inverse problems for Sturm–Liouville differential operators with two constant delays under Robin boundary conditions

B Vojvodic, M Pikula, V Vladicic - Results in Applied Mathematics, 2020 - Elsevier
This paper deals with non-self-adjoint second-order differential operators with two constant
delays from [π∕ 2, π) and two potentials from L 2 0, π. We study the inverse spectral …

INVERSE PROBLEMS FOR STURM - LIOUVILLE OPERATOR WITH POTENTIAL FUNCTIONS FROM L2[0, π].

B VOJVODIĆ, NP KOMAZEC - Mathematica Montisnigri, 2020 - search.ebscohost.com
This paper deals with non-self-adjoint second-order differential operators with two constant
delays. We consider four boundary value problems 𝐷< sub> 𝑖, 𝑘, 𝑖= 0, 1, 𝑘= 1, 2... and 𝜆 is …

Uniqueness of Nonlinear Inverse Problem for Sturm–Liouville Operator with Multiple Delays

C Gao, G Du - Journal of Nonlinear Mathematical Physics, 2024 - Springer
The inverse problem concerns how to reconstruct the operator from given spectral data. The
main goal of this paper is to address nonlinear inverse Sturm–Liouville problem with …

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

BM Vojvodic, VM Vladicic - Journal of Inverse and Ill-posed …, 2020 - degruyter.com
This paper deals with non-self-adjoint differential operators with two constant delays
generated by-y′′+ q 1⁢(x)⁢ y⁢(x-τ 1)+(-1) i⁢ q 2⁢(x)⁢ y⁢(x-τ 2), where π 3≤ τ 2< π 2< …

Higher-order Sturm-Liouville problems with the same eigenvalues

H Mirzaei - Turkish Journal of Mathematics, 2020 - journals.tubitak.gov.tr
In this paper, we consider self-adjoint Sturm? Liouville problem (SLP) of higher-order. We
define an equivalence relation between second-and higher-order SLP. Using the Darboux …

On Recovering Sturm--Liouville-Type Operator with Delay and Jump Conditions

M Shahriari, V Vladicic - Sahand Communications in …, 2024 - scma.maragheh.ac.ir
In this manuscript, the second order differential operators with constant delay and
transmission boundary conditions are studied. The asymptotic forms of the characteristic …

Hochstadt's results for inverse Sturm–Liouville problems with finite number of transmission and parameter dependent boundary conditions

M Shahriari - TWMS Journal of Applied and Engineering …, 2023 - belgelik.isikun.edu.tr
This paper deals with the boundary value problem involving the differential equation? y??+
qy=? y, subject to the parameter dependent boundary conditions with finite number of …

Inverse problem for Sturm-Liouville differential operators with finite number of constant delays

M Shahriari - Turkish Journal of Mathematics, 2020 - journals.tubitak.gov.tr
In this manuscript, we study nonself-adjoint second-order differential operators with finite
number of constant delays. We investigate the properties of the spectral characteristics and …