Scattering problems of impulsive Schrodinger equations with matrix coefficients

被引：4

作者：

Cebesoy, Serifenur ^{[1
]}

Bairamov, Elgiz ^{[2
]}

Aygar, Yelda ^{[2
]}

机构：

[1] Cankiri Karatekin Univ, Fac Sci, Dept Math, TR-18200 Cankiri, Turkey

[2] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

来源：

RICERCHE DI MATEMATICA | 2023年 / 72卷 / 01期

关键词：

Impulsive conditions; Schrodinger equations; Jost solution; Scattering matrix; Eigenvalues; Spectral singularities; SPECTRAL-ANALYSIS;

D O I：

10.1007/s11587-022-00736-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we set an impulsive boundary value problem for matrix valued Schrodinger equation on the semi axis. We first introduce some solutions of mentioned problem so that we can obtain Jost solution, Jost function, scattering function and resolvent of corresponding impulsive operator. Moreover, investigating analytical and asymptotic properties of the Jost solution enables us to find the discrete spectrum of matrix Schrodinger operator and to study characteristic properties of the scattering matrix.

引用

页码：399 / 415

页数：17

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