具有分布势的三阶边值问题的若干特征值性质

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-12-26 DOI:10.1007/s10255-023-1064-5

Hai-yan Zhang, Ji-jun Ao

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引用次数: 0

摘要

研究了具有分布势的三阶边值问题的几个特征值性质。首先，我们证明了与问题相关的算子是自伴随的，并且对应的特征值是实数。其次，给出了问题特征值的连续性和微分性质，特别是给出了边界条件、系数函数和端点的微分表达式。最后，给出了本文所研究问题的一类传输边值问题的简单应用。

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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Some Eigenvalue Properties of Third-order Boundary Value Problems with Distributional Potentials

Several eigenvalue properties of the third-order boundary value problems with distributional potentials are investigated. Firstly, we prove that the operators associated with the problems are self-adjoint and the corresponding eigenvalues are real. Next, the continuity and differential properties of the eigenvalues of the problems are given, especially we nd the differential expressions for the boundary conditions, the coefficient functions and the endpoints. Finally, we show a brief application to a kind of transmission boundary value problems of the problems studied here.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.