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.
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收藏
页数：15
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