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

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. We also calculate the numerical values of the nodal points and the nodal length. F...

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Main Authors: A. Neamaty, Sh. Akbarpoor, A. Dabbaghian
Format: Article
Language:English
Published: Islamic Azad University 2015-03-01
Series:Journal of Mathematical Extension
Online Access:http://ijmex.com/index.php/ijmex/article/view/299/189
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spelling doaj-5c31309545c848a2a292ab68a0b41c9b2020-11-25T03:40:39ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992015-03-01913750Uniqueness Theorem for the Inverse Aftereffect Problem and Representation the Nodal Points FormA. Neamaty0Sh. Akbarpoor1A. Dabbaghian2University of MazandaranUniversity of MazandaranIslamic Azad University of NekaIn 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. We also calculate the numerical values of the nodal points and the nodal length. Finally, we prove the uniqueness theorem for the inverse aftereffect problem by applying any dense subset of the nodal points.http://ijmex.com/index.php/ijmex/article/view/299/189
collection DOAJ
language English
format Article
sources DOAJ
author A. Neamaty
Sh. Akbarpoor
A. Dabbaghian
spellingShingle A. Neamaty
Sh. Akbarpoor
A. Dabbaghian
Uniqueness Theorem for the Inverse Aftereffect Problem and Representation the Nodal Points Form
Journal of Mathematical Extension
author_facet A. Neamaty
Sh. Akbarpoor
A. Dabbaghian
author_sort A. Neamaty
title Uniqueness Theorem for the Inverse Aftereffect Problem and Representation the Nodal Points Form
title_short Uniqueness Theorem for the Inverse Aftereffect Problem and Representation the Nodal Points Form
title_full Uniqueness Theorem for the Inverse Aftereffect Problem and Representation the Nodal Points Form
title_fullStr Uniqueness Theorem for the Inverse Aftereffect Problem and Representation the Nodal Points Form
title_full_unstemmed Uniqueness Theorem for the Inverse Aftereffect Problem and Representation the Nodal Points Form
title_sort uniqueness theorem for the inverse aftereffect problem and representation the nodal points form
publisher Islamic Azad University
series Journal of Mathematical Extension
issn 1735-8299
1735-8299
publishDate 2015-03-01
description 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. We also calculate the numerical values of the nodal points and the nodal length. Finally, we prove the uniqueness theorem for the inverse aftereffect problem by applying any dense subset of the nodal points.
url http://ijmex.com/index.php/ijmex/article/view/299/189
work_keys_str_mv AT aneamaty uniquenesstheoremfortheinverseaftereffectproblemandrepresentationthenodalpointsform
AT shakbarpoor uniquenesstheoremfortheinverseaftereffectproblemandrepresentationthenodalpointsform
AT adabbaghian uniquenesstheoremfortheinverseaftereffectproblemandrepresentationthenodalpointsform
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