A q-Dirac boundary value problem with eigenparameter-dependent boundary conditions

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI:10.2298/aadm220323036b

M. Bohner, Ayça Çetinkaya

引用次数: 1

Abstract

We study a boundary value problem for the q-Dirac equation and eigenvalue-dependent boundary conditions. We introduce a self-adjoint operator in a suitable Hilbert space and illustrate the boundary value problem as a spectral problem for this operator. We investigate the properties of the eigenvalues and vector-valued eigenfunctions. We construct Green?s function.

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具有特征参数相关边界条件的q-Dirac边值问题

研究了q-Dirac方程的边值问题和特征值相关的边值条件。在合适的Hilbert空间中引入了一个自伴随算子，并将其边值问题描述为谱问题。我们研究了特征值和向量值特征函数的性质。我们建造绿色?s函数。

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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来源期刊

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).