Singular Hamiltonian System With Several Spectral Parameters
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Date
2018
Authors
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Publisher
Academic Press inc Elsevier Science
Open Access Color
Green Open Access
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Abstract
In this paper, the Weyl-Titchmarsh theory has been constructed for the singular 2n-dimensional (even order) Hamiltonian system with several spectral parameters. In particular, we consider that the left end point of the interval is regular and the right end point of the interval is singular for the Hamiltonian system with several parameters. Using the nested circles approach, we prove that at least n-linearly independent solutions are squarly integrable with respect to some matrix functions. (C) 2018 Elsevier Inc. All rights reserved.
Description
Keywords
Hamiltonian System, Multiparameter Eigenvalue Problem, Weyl Theory, Tensor Product, Hamilton's equations, multiparameter eigenvalue problem, tensor product, Hamiltonian system, Weyl theory, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods, Weyl theory and its generalizations for ordinary differential equations
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Uğurlu, E. (2018). Singular Hamiltonian system with several spectral parameters. Journal Citation Reports, 461(2), 1241-1259. http://dx.doi.org/10.1016/j.jmaa.2018.01.028
WoS Q
Q1
Scopus Q
Q2
OpenCitations Citation Count
5
Source
Journal of Mathematical Analysis and Applications
Volume
461
Issue
2
Start Page
1241
End Page
1259
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Citations
CrossRef : 5
Scopus : 5
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