Spectral properties of an impulsive Sturm-Liouville operator.

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-27 DOI:10.1186/s13660-018-1781-0

Elgiz Bairamov, Ibrahim Erdal, Seyhmus Yardimci

引用次数: 8

Abstract

This work is devoted to discuss some spectral properties and the scattering function of the impulsive operator generated by the Sturm-Liouville equation. We present a different method to investigate the spectral singularities and eigenvalues of the mentioned operator. We also obtain the finiteness of eigenvalues and spectral singularities with finite multiplicities under some certain conditions. Finally, we illustrate our results by a detailed example.

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脉冲Sturm-Liouville算子的谱性质。

本文讨论了由Sturm-Liouville方程产生的脉冲算子的一些光谱性质和散射函数。我们提出了一种不同的方法来研究上述算子的谱奇异性和特征值。在一定条件下，我们还得到了特征值的有限性和谱奇异性的有限性。最后，我们通过一个详细的例子来说明我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.