Inverse problem for differential systems having a singularity and turning point of even or odd order

被引：0

作者：

Mosazadeh, Seyfollah ^{[1
]}

机构：

[1] Univ Kashan, Fac Math Sci, Dept Math, Kashan 8731753153, Iran

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2023年 / 52卷 / 05期

关键词：

Maxwell's equations; singularity; turning point; dual equations; factorization theorem; STURM-LIOUVILLE OPERATORS; SPECTRAL PROBLEMS; EQUATIONS; BOUNDARY; PARAMETER;

D O I：

10.15672/hujms.1050832

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the canonical property of the solutions and the inverse problem for a system of differential equations having a singularity and turning point of even or odd order are investigated. First, we study the infinite product representation of the solutions of the system in turning case, and derive the corresponding dual equations. Then, by a replacement, we transform the system of differential equations to a second-order differential equation with a singularity and find the canonical product representation of its solution, and provide a procedure for constructing the solution of the inverse problem. We present a new approach to solve the inverse problems having a singularity inside the interval.

引用

页码：1239 / 1253

页数：15

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