Spectrum and scattering function of the impulsive discrete Dirac systems

被引：18

作者：

Bairamov, Elgiz ^{[1
]}

Solmaz, Seyda ^{[1
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, Ankara, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 06期

关键词：

Dirac systems; Jost solution; scattering function; eigenvalues; 4TH-ORDER DIFFERENTIAL OPERATOR; DISSIPATIVE OPERATORS; TRANSMISSION; EQUATIONS; CONTROLLABILITY; EXPANSION;

D O I：

10.3906/mat-1806-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate analytical and asymptotic properties of the Jost solution and Jost function of the impulsive discrete Dirac equations. We also study eigenvalues and spectral singularities of these equations. Then we obtain characteristic properties of the scattering function of the impulsive discrete Dirac systems. Therefore, we find the Jost function, point spectrum, and scattering function of the unperturbed impulsive equations.

引用

页码：3182 / 3194

页数：13

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[2]

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[3]

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[4]

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