具有奇或偶阶奇点和拐点的微分系统的反问题

IF 0.7 4区数学 Q2 MATHEMATICS

Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI:10.15672/hujms.1050832

S. Mosazadeh

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引用次数: 0

摘要

本文研究了一类具有偶或奇阶奇点和拐点的微分方程组解的正则性和反问题。首先，我们研究了系统在转动情况下解的无穷积表示，并推导了相应的对偶方程。然后，通过替换，将微分方程组转化为具有奇异点的二阶微分方程，求出其解的正则积表示，并给出了构造反问题解的过程。给出了求解区间内有奇点的逆问题的一种新方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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来源期刊

Hacettepe Journal of Mathematics and Statistics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

100

审稿时长

6-12 weeks

期刊介绍： Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics. We strongly encourage submissions for Statistics Section including current and important real world examples across a wide range of disciplines. Papers have innovations of statistical methodology are highly welcome. Purely theoretical papers may be considered only if they include popular real world applications.