左定哈密顿系统及相应的嵌套圆

IF 0.8 4区数学 Q2 MATHEMATICS

Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI:10.55730/1300-0098.3427

Ekin Uğurlu

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引用次数: 1

摘要

本文旨在建立偶维左定哈密顿系统的Titchmarsh-Weyl M (λ)−理论。为此，我们引入了一个合适的拉格朗日公式和包含谱参数λ的自伴随边界条件。然后得到具有嵌套性质的圆方程。利用所有圆的交点，我们得到了方程组狄利克雷可积解个数的下界

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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Left-definite Hamiltonian systems and corresponding nested circles

: This work aims to construct the Titchmarsh-Weyl M ( λ ) − theory for an even-dimensional left-definite Hamiltonian system. For this purpose, we introduce a suitable Lagrange formula and selfadjoint boundary conditions including the spectral parameter λ . Then we obtain circle equations having nesting properties. Using the intersection point belonging to all the circles we share a lower bound for the number of Dirichlet-integrable solutions of the system

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来源期刊

Turkish Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

161

审稿时长

6-12 weeks

期刊介绍： The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.