Left-Definite Hamiltonian Systems and Corresponding Nested Circles
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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.
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Left-Definite Equations, Hamiltonian Systems, Weyl'S Theory, Weyl’s Theory, Fizik, Katı Hal, Fizik, Matematik, Matematik, 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
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Uğurlu, E. (2023). "Left-definite Hamiltonian systems and corresponding nested circles", Turkish Journal of Mathematics, Vol.47, No.4, pp.1276-1287.
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OpenCitations Citation Count
2
Volume
47
Issue
4
Start Page
1276
End Page
1287
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CrossRef : 3
Scopus : 3
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