On Inverse Problem for Differential Operators with Deviating Argument

被引：0
作者：
Yurko, V. A. [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, 83 Astrakhanskaya Str, Saratov 410012, Russia
来源：
IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2018年 / 18卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
differential operators; deviating argument; inverse spectral problem;
D O I：
10.18500/1816-9791-2018-18-3-328-333
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Second-order functional differential operators with a constant delay are considered. Properties of their spectral characteristics are obtained, and a nonlinear inverse spectral problem is studied, which consists in constructing operators from their spectra. We establish the uniqueness and develop a constructive procedure for solution of the inverse problem.
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页码：328 / 333
页数：6
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