Discrete Sturm-Liouville equations with point interaction

被引：0

作者：

Ozbey, Gueher Gulcehre ^{[1
]}

Aygar, Yelda ^{[2
]}

Oznur, Guler Basak ^{[3
]}

机构：

[1] Middle East Tech Univ, Univ Mahallesi,Dumlupınar Bulvarı 1, TR-06800 Ankara, Turkiye

[2] Ankara Univ, Dept Math, TR-06100 Ankara, Turkiye

[3] Gazi Univ, Dept Math, TR-06500 Ankara, Turkiye

来源：

JOURNAL OF ANALYSIS | 2024年 / 32卷 / 03期

关键词：

Point interaction; Discrete Sturm-Liouville equation; Scattering function; Resolvent; Eigenvalue; SCATTERING FUNCTION; PULSE VACCINATION; SPECTRUM;

D O I：

10.1007/s41478-023-00718-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Scattering solutions and several properties of scattering function of a discrete Sturm-Liouville boundary value problem with point interaction (PBVP) are derived. Moreover, resolvent operator, continuous and discrete spectrum of this PBVP are investigated. An asymptotic equation is utilized to get the properties of eigenvalues. An example illustrating the main results is given.

引用

页码：1725 / 1737

页数：13

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