Transformation Operator for Sturm-Liouville Operators with Growing Potentials

被引：0

作者：

Orudzhev, Elshar G. ^{[1
]}

Rzayeva, Gunay F. ^{[2
]}

机构：

[1] Baku State Univ, 23 Z Khalilov St, AZ-1148 Baku, Azerbaijan

[2] Sumgayit State Univ, 1 Baku St, AZ-5008 Sumgayit, Azerbaijan

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2025年 / 15卷 / 01期

关键词：

Sturm-Liouville operator; transformation operator; second-order hyperbolic equation; Riemann function; INVERSE PROBLEM; EQUATION;

D O I：

10.59849/2218-6816.2025.1.105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers a pair of Sturm-Liouville operators A =- d2 /dx2 + cx alpha and B =- d2 / dx2 + cx alpha + q (x) on the semi-axis [0, infinity) , c = const, alpha > 1. A transformation operator with a condition at infinity is constructed for the operators A and B. An estimate is obtained for the kernel of the transformation operator.

引用

页码：105 / 115

页数：11

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