Results 131 to 140 of about 3,079 (159)

An inverse nodal problem for integro-differential operators

jiip, 2010
Abstract The inverse nodal problem of recovering integral-differential operators with the Sturm–Liouville differential part and the integral part of Volterra type is studied. We reconstruct the potential and the boundary conditions provided the kernel of integral perturbation is known.
Kuryshova, Yulia V., Shieh, Chung-Tsun
openaire   +1 more source

The sharp conditions of the uniqueness for inverse nodal problems

Journal of Differential Equations, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yongxia Guo, Guangsheng Wei
openaire   +2 more sources

The inverse nodal problem on the smoothness of the potential function

Inverse Problems, 1999
The authors correct the lemma 2.2 in the paper by \textit{Y. H. Cheng}, \textit{C. K. Law} and \textit{J. Tsay} [J. Math. Anal. Appl. 248, 145--155 (2000; Zbl 0960.34018)]. Fortunately, the mistakes do not affect the validity of the results in the paper mentioned before.
Law, C. K., Shen, Chao-Liang, Yang, Ching-Fu   +2 more
openaire   +3 more sources

The inverse problem using nodal position data

26th IEEE Conference on Decision and Control, 1987
Uniqueness theorems and algorithms are presented for solving inverse problems where the data is nodal positions.
Joyce McLaughlin, Ole Hald
openaire   +1 more source

INVERSE NODAL PROBLEM FOR THE INTEGRODIFFERENTIAL DIRAC OPERATOR WITH A DELAY IN THE KERNEL

Journal of Integral Equations and Applications, 2022
The author analyzes an inverse nodal problem for an integro-differential Dirac system with an integral delay on a finite interval. A uniqueness result is obtained for the solution of this problem, and a constructive procedure is proposed to solve it.
openaire   +1 more source

Inverse problems for the boundary value problem with the interior nodal subsets

Applicable Analysis, 2016
In this paper, inverse nodal problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter were studied. The authors showed that some uniqueness theorems on the potential function hold by the Weyl function, respectively.
Wang, Yu Ping, Lien, Ko Ya Lien, Shieh, Chung-Tsun   +2 more
openaire   +2 more sources

Inverse nodal problem for p–laplacian dirac system

Mathematical Methods in the Applied Sciences, 2016
In this study, we solve an inverse nodal problem for p‐Laplacian Dirac system with boundary conditions depending on spectral parameter. Asymptotic formulas of eigenvalues, nodal points and nodal lengths are obtained by using modified Prüfer substitution.
Gulsen, Tuba, Yilmaz, Emrah, Koyunbakan, Hikmet   +2 more
openaire   +1 more source

Inverse nodal problem for singular differential operators

Journal of Inverse and Ill-posed Problems, 2005
The inverse nodal problem is solved for the boundary value problem \[ -y''+\left(\frac{\nu-1/4}{x^2}+q(x)\right)y=\lambda y,\;\;\nu>0 ...
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Inverse nodal problem with eigenparameter boundary conditions

Afrika Matematika
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Unal Ic, Hikmet Koyunbakan
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Inverse nodal problems for singular diffusion equation

Mathematical Methods in the Applied Sciences
In this study, some properties of the pencils of singular Sturm–Liouville operators are investigated. Firstly, the behaviors of eigenvalues and eigenfunctions is learned, then for each discontinuity point a solution of the inverse problem is given to determine the potential function and parameters , and with the help of a dense set of nodes.
Rauf Amirov, Sevim Durak
openaire   +2 more sources