Left-definite Hamiltonian systems and corresponding nested circles

被引：1

作者：

Ugurlu, Ekin ^{[1
]}

机构：

[1] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkiye

来源：

TURKISH JOURNAL OF MATHEMATICS | 2023年 / 47卷 / 04期

关键词：

Left-definite equations; Hamiltonian systems; Weyl's theory; ORDINARY DIFFERENTIAL-EQUATIONS;

D O I：

10.55730/1300-0098.3427

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work aims to construct the Titchmarsh-Weyl M(A)-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 A. 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.

引用

页码：1276 / 1287

页数：13

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