On Dirichlet-Integrable Solutions of Left-Definite Hamiltonian Systems
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Date
2023
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Springer int Publ Ag
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Green Open Access
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Abstract
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.
Description
Ugurlu, Ekin/0000-0002-0540-8545
ORCID
Keywords
Left-Definite Hamiltonian Systems, Quadratic Forms, Integrable-Square Solutions, Hamilton's equations, General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants, left-definite Hamiltonian systems, integrable-square solutions, General spectral theory of ordinary differential operators, quadratic forms, Weyl theory and its generalizations for ordinary differential equations
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Citation
Uğurlu, E.; Bairamov, E. (2023). "On Dirichlet-integrable solutions of left-definite Hamiltonian systems", Boletin de la Sociedad Matematica Mexicana, Vol.29, No.2.
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
2
Source
Boletín de la Sociedad Matemática Mexicana
Volume
29
Issue
2
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End Page
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CrossRef : 1
Scopus : 3
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3
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3
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