On the Maximal Subspaces of Discrete Hamiltonian Systems

被引：0

作者：

Ugurlu, Ekin ^{[1
]}

Bairamov, Elgiz ^{[2
]}

机构：

[1] Cankaya Univ, Dept Math, TR-06810 Ankara, Turkiye

[2] Ankara Univ, Dept Math, TR-06100 Ankara, Turkiye

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2024年 / 47卷 / 03期

关键词：

Discrete equations; Hamiltonian systems; Sylvester's inertia indices; Subspace theory; Weyl's theory; WEYL-TITCHMARSH THEORY; ORDINARY DIFFERENTIAL-EQUATIONS; SYMPLECTIC SYSTEMS; LIMIT-POINT; ANALYTIC THEORY; DEPENDENCE; SQUARE; ORDER;

D O I：

10.1007/s40840-024-01674-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a discrete Hamiltonian system on nonnegative integers, and using Sylvester's inertia indices theory, we construct maximal subspaces on which the Hermitian form has a certain sign. After constructing nested ellipsoids, we introduce a lower bound for the number of linearly independent summable-square solutions of the discrete equation. Finally, we provide a limit-point criterion.

引用

页数：15

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