Results 11 to 20 of about 6,004,549 (201)

Inverse nodal problem for a conformable fractional diffusion operator [PDF]

open access: yesInverse Problems in Science and Engineering, 2020
In this paper, a diffusion operator including conformable fractional derivatives of order α (α in (0,1)) is considered. The asymptotics of the eigenvalues, eigenfunctions and nodal points of the operator are obtained. Furthermore, an effective procedure for solving the inverse nodal problem is given.
Cakmak, Yasar
core   +5 more sources

Remarks on a New Inverse Nodal Problem [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2000
The authors weaken the conditions and simplify the proof of a theorem of \textit{X. F. Yang} [A new inverse nodal problem, J. Differ. Equations (to appear)]. It is known that the usual nodal inverse problem developed by \textit{J. R. McLaughlin} [J. Differ. Equations, 73, No. 2, 354-362 (1988; Zbl 0652.34029)] is overdetermined.
Cheng, Yan-Hsiou   +2 more
openaire   +2 more sources

Inverse Nodal Problem for Polynomial Potentials

open access: yesNumerical Functional Analysis and Optimization, 2021
In this work, we study an inverse nodal problem for a differential pencil with boundary condition depends on eigenparameter.
Koyunbakan, Hikmet, Shieh, Chung-Tsun
openaire   +3 more sources

Incomplete Inverse Spectral and Nodal Problems for Differential Pencils [PDF]

open access: yesResults in Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Buterin, S. A., Shieh, C.-T.
openaire   +3 more sources

The Inverse Nodal problem for the fractional diffusion equation

open access: yesActa Scientiarum: Technology, 2015
In this paper, on a general finite interval, the inverse problem of recovering the potential function for a fractional diffusion equation with new spectral parameter, called the nodal point, is given.
Erdal Bas
doaj   +2 more sources

On Inverse Nodal Problem and Multiplicities of Eigenvalues of a Vectorial Sturm-Liouville Problem [PDF]

open access: yesJournal of Function Spaces, 2020
An m-dimensional vectorial inverse nodal Sturm-Liouville problem with eigenparameter-dependent boundary conditions is studied. We show that if there exists an infinite sequence ynj,rx,λnj,r2j=1∞ of eigenfunctions which are all vectorial functions of type
Xiaoyun Liu
doaj   +3 more sources

Inverse nodal problem for a Sturm-Liouville operator with discontinuous coefficient

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2017
Inverse nodal problem for SturmnLiouville equation with discontinuity coeffecient is studied. A uniqueness theorem and an algorithm for recovering the coeffecient of the problem from a known sequence related to the nodal points are ...
Ozkan, A. Sinan
openaire   +5 more sources

Uniqueness Theorem for the Inverse Aftereffect Problem and Representation the Nodal Points Form

open access: yesJournal of Mathematical Extension, 2015
In this paper, we consider a boundary value problem with aftereffect on a finite interval. Then, the asymptotic behavior of the solutions, eigenvalues, the nodal points and the associated nodal length are studied.
A. Neamaty, Sh. Akbarpoor, A. Dabbaghian
doaj   +1 more source

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

open access: yesElectronic 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

A vectorial inverse nodal problem [PDF]

open access: yesProceedings of the American Mathematical Society, 2004
Consider the vectorial Sturm-Liouville problem: \[ {
Cheng, Yan-Hsiou   +2 more
openaire   +1 more source

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