Results 81 to 90 of about 8,236 (196)

Reconstruction of the solution of inverse Sturm–Liouville problem

Boundary Value Problems
In this paper we are concerned with an inverse problem with Robin boundary conditions, which states that, when the potential on [ 0 , 1 / 2 ] $[0,1/2]$ and the coefficient at the left end point are known a priori, a full spectrum uniquely determines its ...
Zhaoying Wei, Zhijie Hu, Yuewen Xiang
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On the question of the correctness of inverse problems for the inhomogeneous Helmholtz equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
In the rectangular domain, the initial-boundary value problem for the Helmholtz equation and its non-local modifications are studied and the inverse problems for finding its right-hand side are studied.
Kamil B Sabitov, Nina V Martem’yanova
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Exact and Numerical Solution of the Fractional Sturm-Liouville Problem with Neumann Boundary Conditions. [PDF]

Entropy (Basel), 2022
Klimek M, Ciesielski M, Blaszczyk T.
europepmc   +1 more source

Reconstruction of the potential in the Sturm-Liouville equation with spectral boundary conditions

Journal of Inequalities and Applications
This study examines the Sturm-Liouville equation, focusing on cases where the spectral parameter is included in the boundary conditions. By employing the Hochstadt-Lieberman theorem and the Weyl function, we demonstrate that when the potential is known ...
Yasser Khalili, Nematollah Kadkhoda
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Ambarzumyan Type Theorems for a Class of Sturm-Liouville Problem

Cumhuriyet Science Journal, 2017
In this paper, we prove Ambarzumyan type theorems foran impulsive Sturm–Liouville problem with eigenparameter in the boundaryconditions.
A. Sinan Özkan, Yaşar Çakmak
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Inverse Scattering Problem for Sturm--Liouville Operators

, 2021
On the space $L^{2}(\mathbb{R})$ the Sturm-Liouville operator $L$ with certain behavior of the potential at infinity is considered. It is proved that $L$ is uniquely determined by its scattering data. The recovery of $L$ is reduced to the solving of a certain linear integral equation.
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DeepGreen: deep learning of Green's functions for nonlinear boundary value problems. [PDF]

Sci Rep, 2021
Gin CR, Shea DE, Brunton SL, Kutz JN.
europepmc   +1 more source

Optimal data acquisition in tomography. [PDF]

J Opt Soc Am A Opt Image Sci Vis, 2023
Javidan M, Esfandi H, Anderson R, Pashaie R.   +3 more
europepmc   +1 more source

Quasiperiodic inverse Sturm-Liouville problem

In this paper, the Sturm-Liouville problem with nonseparated quasiperiodic boundary conditions is considered. We study the recovery of the problem parameters from the Hill-type discriminant, the Dirichlet spectrum, and the sequence of signs. We obtain the necessary and sufficient conditions of solvability, the local solvability and stability, as well ...
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Inverse spectral problems for energy-dependent Sturm-Liouville equations with finitely many point delta-interactions

Electronic Journal of Differential Equations, 2016
In this study, inverse spectral problems for a energy-dependent Sturm-Liouville equations with finitely many point $\delta $-interactions. The uniqueness theorems for the inverse problems of reconstruction of the boundary value problem from the Weyl ...
Manaf Dzh. Manafov
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