publication . Article . 2015

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

A. Neamaty; Sh. Akbarpoor; A. Dabbaghian;
Open Access English
  • Published: 01 Mar 2015 Journal: Journal of Mathematical Extension (issn: 1735-8299, eissn: 1735-8299, Copyright policy)
  • Publisher: Islamic Azad University
Abstract
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.
Subjects
arXiv: Mathematics::Spectral TheoryMathematics::Algebraic Geometry
free text keywords: Mathematics, QA1-939
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