具有Dirichlet和非局部两点边界条件的Sturm-Liouville问题的渐近分析

IF 1.6 3区数学 Q1 MATHEMATICS

Mathematical Modelling and Analysis Pub Date : 2023-03-21 DOI:10.3846/mma.2023.17617

A. Štikonas, E. Şen

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引用次数: 0

摘要

本文研究了具有一个经典Dirichlet型边界条件和两点非局部边界条件的一维Sturm-Liouville方程的特征值和特征函数的渐近展开式。分析了特征值边值问题的特征方程，导出了任意阶的渐近展开式。我们将所得结果应用于两点非局部边界条件问题。

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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Asymptotic Analysis of Sturm-Liouville Problem with Dirichlet and nonlocal two-Point boundary conditions

In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition. We analyze the characteristic equation of the boundary value problem for eigenvalues and derive asymptotic expansions of arbitrary order. We apply the obtained results to the problem with two-point nonlocal boundary condition.

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