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

被引：0

作者：

Neamaty, A. ^{[1
]}

Akbarpoor, Sh. ^{[2
]}

Dabbaghian, A. ^{[3
]}

机构：

[1] Univ Mazandaran, Dept Math, Math, Babol Sar, Iran

[2] Univ Mazandaran, Dept Appl Math, Math, Babol Sar, Iran

[3] Islamic Azad Univ, Dept Math, Neka Branch, Neka, Iran

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2015年 / 9卷 / 01期

关键词：

Differential equation; aftereffect; uniqueness theorem; nodal points;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：37 / 49

页数：13

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