Results 31 to 40 of about 15,028 (168)

Deep learning-enabled Inference of 3D molecular absorption distribution of biological cells from IR spectra

open access: yesCommunications Chemistry, 2022
Infrared spectroscopy-based diffraction tomography has a high potential to be used for 3D reconstruction of intact samples, however, the inverse problem is highly non-linear and remains challenging.
Eirik Almklov Magnussen   +11 more
doaj   +1 more source

On Solvability of Some Inverse Problems for a Fractional Parabolic Equation with a Nonlocal Biharmonic Operator

open access: yesFractal and Fractional, 2023
The paper considers the solvability of some inverse problems for fractional differential equations with a nonlocal biharmonic operator, which is introduced with the help of involutive transformations in two space variables.
Moldir Muratbekova   +3 more
doaj   +1 more source

Quantitative Spectral Data Analysis Using Extreme Learning Machines Algorithm Incorporated with PCA

open access: yesAlgorithms, 2021
Extreme learning machine (ELM) is a popular randomization-based learning algorithm that provides a fast solution for many regression and classification problems.
Michael Li   +3 more
doaj   +1 more source

Inverse Spectral Problems for Weighted Graphs

open access: yesMohyla Mathematical Journal, 2022
The paper is devoted to inverse spectral problems for weighted graphs. We give the sharp upper bound for spectral reconstruction number of trees and unicyclic graphs.
Pylypiva, Oleksandra   +1 more
openaire   +2 more sources

An Approach to Solving Direct and Inverse Scattering Problems for Non-Selfadjoint Schrödinger Operators on a Half-Line

open access: yesMathematics, 2023
In this paper, an approach to solving direct and inverse scattering problems on the half-line for a one-dimensional Schrödinger equation with a complex-valued potential that is exponentially decreasing at infinity is developed.
Vladislav V. Kravchenko   +1 more
doaj   +1 more source

Etudes for the inverse spectral problem

open access: yesJournal of the London Mathematical Society, 2023
AbstractIn this note, we study inverse spectral problems for canonical Hamiltonian systems, which encompass a broad class of second‐order differential equations on a half‐line. Our goal is to extend the classical results developed in the work of Marchenko, Gelfand–Levitan, and Krein to broader classes of canonical systems and to illustrate the solution
Makarov, Nikolai G., Poltoratski, Alexei
openaire   +4 more sources

Inverse Spectral Problems for Sturm-Liouville Operators with Transmission Eonditions

open access: yesپژوهش‌های ریاضی, 2020
: This paper deals with the boundary value problem involving the differential equation                      -y''+q(x)y=lambda y                                 subject to the standard boundary conditions along with the following discontinuity conditions ...
Mohammad Shahriari
doaj  

Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse

open access: yesAbstract and Applied Analysis, 2013
In this study some inverse problems for a boundary value problem generated with a quadratic pencil of Sturm-Liouville equations with impulse on a finite interval are considered.
Rauf Kh. Amırov, A. Adiloglu Nabıev
doaj   +1 more source

Inverse spectral problems for certain differential operators [PDF]

open access: yesPacific Journal of Mathematics, 1984
Soit L o un operateur differentiel donne a matrice spectrale (ρ ij o ); soit une mesure matricielle positive (ρ ij ). On donne la technique pour construite L a partir de (ρ ij ) et (ρ ij o )
openaire   +3 more sources

Inverse spectral problems for nonlinear Sturm-Liouville problems

open access: yesElectronic Journal of Differential Equations, 2007
This paper concerns the nonlinear Sturm-Liouville problem $$ -u''(t) + f(u(t)) = lambda u(t), quad u(t) > 0, quad t in I := (0, 1), quad u(0) = u(1) = 0, $$ where $lambda $ is a positive parameter. We try to determine the nonlinear term $f(u)$ by means
Tetsutaro Shibata
doaj  

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