Discrete Left-Definite Hamiltonian Systems
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Date
2023
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Publisher
Wilmington Scientific Publisher, Llc
Open Access Color
GOLD
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No
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Abstract
In this paper we consider an even-dimensional discrete Hamiltonian system on the set of nonnegative integers in the left-definite form. Using the inertia indices of the hermitian form related with the solutions of the equation we construct some maximal subspaces of the solution space. After constructing some ellipsoids preserving nesting properties we introduce a lower bound for the number of Dirichlet-summable solutions of the equation. Moreover we introduce a limit-point criterion.
Description
Keywords
Discrete Hamiltonian System, Weyl Theory, Left-Definite Equation, Sylvester'S Inertia Indices, Subspace Theory, Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems, subspace theory, Difference and functional equations, General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants, discrete Hamiltonian system, Weyl theory, left-definite equation, Sylvester's inertia indices
Fields of Science
Citation
Uğurlu, E. (2023). "Discrete left-definite hamiltonian systems", Journal of Applied Analysis and Computation, Vol.13, No.3, pp.1178-1189.
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
1
Source
Journal of Applied Analysis & Computation
Volume
13
Issue
3
Start Page
1178
End Page
1189
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Citations
Scopus : 4
SCOPUS™ Citations
4
checked on Feb 23, 2026
Web of Science™ Citations
4
checked on Feb 23, 2026
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