Left-Definite Hamiltonian Systems and Corresponding Nested Circles
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Date
2023
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Tubitak Scientific & Technological Research Council Turkey
Open Access Color
GOLD
Green Open Access
No
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No
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Average
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Abstract
This work aims to construct the Titchmarsh-Weyl M(A)-theory for an even-dimensional left-definite Hamiltonian system. For this purpose, we introduce a suitable Lagrange formula and selfadjoint boundary conditions including the spectral parameter A. Then we obtain circle equations having nesting properties. Using the intersection point belonging to all the circles we share a lower bound for the number of Dirichlet-integrable solutions of the system.
Description
Keywords
Left-Definite Equations, Hamiltonian Systems, Weyl'S Theory, left-definite equations, General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants, Weyl's theory, Hamiltonian systems, Weyl theory and its generalizations for ordinary differential equations
Fields of Science
Citation
Uğurlu, E. (2023). "Left-definite Hamiltonian systems and corresponding nested circles", Turkish Journal of Mathematics, Vol.47, No.4, pp.1276-1287.
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
2
Source
Turkish Journal of Mathematics
Volume
47
Issue
4
Start Page
1276
End Page
1287
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Citations
CrossRef : 3
Scopus : 3
SCOPUS™ Citations
3
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Web of Science™ Citations
3
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1
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