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.
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页码：105 / 115
页数：11
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