Results 1 to 10 of about 55,212 (165)

The Partial Inverse Spectral and Nodal Problems for Sturm–Liouville Operators on a Star-Shaped Graph [PDF]

Mathematics, 2022
We firstly prove the Horváth-type theorem for Sturm–Liouville operators on a star-shaped graph and then solve a new partial inverse nodal problem for this operator.
Xian-Biao Wei, Yan-Hsiou Cheng, Yu-Ping Wang   +2 more
doaj   +2 more sources

An inverse nodal problem of a conformable Sturm-Liouville problem with restrained constant delay [PDF]

Boundary Value Problems
This paper presents a new technique: a conformable derivative for the inverse problem of a Sturm-Liouville problem with restrained constant delay. Solutions to the Sturm-Liouville problem often involve eigenfunctions and eigenvalues, which have important
Auwalu Sa’idu, Hikmet Koyunbakan, Kamal Shah, Thabet Abdeljawad   +3 more
doaj   +2 more sources

Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition

Cumhuriyet Science Journal, 2023
In this paper, we consider the inverse nodal problem for the conformable fractional diffusion operator with parameter-dependent Bitsadze–Samarskii type nonlocal boundary condition.
Yaşar Çakmak
doaj   +3 more sources

Numerical Solutions of Inverse Nodal Problems for a Boundary Value Problem [PDF]

Mathematics, 2022
In this paper, we study inverse nodal problems for a boundary value problem. A uniqueness result for the potential function and a reconstruction method are obtained.
Yong Tang, Haoze Ni, Fei Song, Yuping Wang   +3 more
doaj   +2 more sources

Inverse nodal problem for a class of nonlocal sturm‐liouville operator

Mathematical Modelling and Analysis, 2010
Inverse nodal problem consists in constructing operators from the given nodes (zeros) of their eigenfunctions. In this work, the Sturm‐Liouville problem with one classical boundary condition and another nonlocal integral boundary condition is considered.
Chuan-Fu Yang
doaj   +3 more sources

Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction

Electronic Journal of Differential Equations, 2015
In this article, we study the inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction. We obtain uniqueness, reconstruction and stability using the nodal set of eigenfunctions for the given ...
Manaf Dzh. Manafov, Abdullah Kablan
doaj   +1 more source

Inverse Nodal Problem for a Conformable Fractional Diffusion Operator

, 2020
In this paper, a diffusion operator including conformable fractional derivatives of order {\alpha} ({\alpha} in (0,1)) is considered. The asymptotics of the eigenvalues, eigenfunctions and nodal points of the operator are obtained.
Çakmak, Yaşar
core   +2 more sources

Inverse Nodal Problem for Polynomial Pencil of a Sturm-Liouville Operator from Nodal Parameters [PDF]

Mathematics Interdisciplinary Research, 2021
A Sturm-Liouville problem with n-potential functions in the second order differential equation and which contains spectral parameter depending on linearly in one boundary condition is considered.
Sertac Goktas, Esengul Biten
doaj   +1 more source

PARALLEL SOLUTION OF THERMOMECHANICAL INVERSE PROBLEMS FOR LASER DIELESS DRAWING OF ULTRA-THIN WIRE [PDF]

Applied Computer Science, 2022
The paper discusses the solving of inverse thermomechanical problems requiring a large number of FEM tasks with various boundary conditions. The study examined the case when all tasks have the same number of nodes, finite elements, and nodal connections.
Andrij MILENIN
doaj   +1 more source

Inverse nodal problem for p−Laplacian Bessel equation with polynomially dependent spectral parameter

Demonstratio Mathematica, 2018
In this study, solution of inverse nodal problem for p−Laplacian Bessel equation is extended to the case that boundary condition depends on polynomial eigenparameter.
Yilmaz Emrah, Hamadamen Mudhafar, Gulsen Tuba   +2 more
doaj   +1 more source