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Inverse problem for differential systems having a singularity and turning point of even or odd order
2023
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
DOI:  
10.15672/hujms.1050832
Abstract:

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.

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2023
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
DOI:  
10.15672/hujms.1050832
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Hacettepe Journal of Mathematics and Statistics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

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Article : 1.731
Cite : 616
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Hacettepe Journal of Mathematics and Statistics