On Dirichlet-integrable solutions of left-definite Hamiltonian systems

被引：1

作者：

Ugurlu, Ekin ^{[1
]}

Bairamov, Elgiz ^{[2
]}

机构：

[1] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06810 Ankara, Turkiye

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

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2023年 / 29卷 / 02期

关键词：

Left-definite Hamiltonian systems; Quadratic forms; Integrable-square solutions; ORDINARY DIFFERENTIAL-EQUATIONS; LIMIT-POINT;

D O I：

10.1007/s40590-023-00507-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper aims to share a method to handle left-definite Hamiltonian systems and to construct nested-ellipsoids related with the corresponding hermitian forms. We share a lower bound for the number of linearly independent Dirichlet-integrable solutions of the Hamiltonian systems with respect to some nonnegative matrices. Moreover, we share the corresponding Titchmarsh-Weyl functions. At the end of the paper we introduce a limit-point criterion.

引用

页数：18

共 50 条

[1] On Dirichlet-integrable solutions of left-definite Hamiltonian systems
Ekin Uğurlu
Elgiz Bairamov
Boletín de la Sociedad Matemática Mexicana, 2023, 29
[2] On the characteristic functions and Dirchlet-integrable solutions of singular left-definite Hamiltonian systems
Bairamov, Elgiz
Tas, Kenan
Ugurlu, Ekin
QUAESTIONES MATHEMATICAE, 2024, 47 (05) : 983 - 995
[3] DISCRETE LEFT-DEFINITE HAMILTONIAN SYSTEMS
Ugurlu, Ekin
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (03): : 1178 - 1189
[4] LEFT-DEFINITE REGULAR HAMILTONIAN-SYSTEMS
KRALL, AM
MATHEMATISCHE NACHRICHTEN, 1995, 174 : 203 - 217
[5] Singular left-definite Hamiltonian systems in the Sobolev space
Ugurlu, Ekin
Tas, Kenan
Baleanu, Dumitru
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (08): : 4451 - 4458
[6] Left-definite Hamiltonian systems and corresponding nested circles
Ugurlu, Ekin
TURKISH JOURNAL OF MATHEMATICS, 2023, 47 (04) : 1276 - 1287
[7] Some remarks on left-definite Hamiltonian systems in the regular case
Vonhoff, R
MATHEMATISCHE NACHRICHTEN, 1998, 193 : 199 - 210
[8] SPECTRAL THEORY OF LEFT-DEFINITE DIFFERENCE EQUATION SYSTEMS
NIESSEN, HD
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1975, 278 : 225 - 265
[9] On the Spectra of Left-Definite Operators
Lance L. Littlejohn
Richard Wellman
Complex Analysis and Operator Theory, 2013, 7 : 437 - 455
[10] On the Spectra of Left-Definite Operators
Littlejohn, Lance L.
Wellman, Richard
COMPLEX ANALYSIS AND OPERATOR THEORY, 2013, 7 (02) : 437 - 455

← 1 2 3 4 5 →