Singular Left-Definite Hamiltonian Systems in the Sobolev Space
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Abstract
This paper is devoted to construct Weyl's theory for the singular left-definite even-order Hamiltonian systems in the corresponding Sobolev space. In particular, it is proved that there exist at least n-linearly independent solutions in the Sobolev space for the 2n-dimensional Hamiltonian system. (C) 2017 All rights reserved.
Description
Keywords
Hamiltonian System, Left-Definite Problems, Weyl Theory, left-definite problems, Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), Hamiltonian system, Weyl theory, Weyl theory and its generalizations for ordinary differential equations
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Uğurlu, E., Taş, K., Baleanu, D. (2017). Singular left-definite Hamiltonian systems in the Sobolev space. Journal of Nonlinear Sciences and Applications, 10(8), 4451-4458. http://dx.doi.org/10.22436/jnsa.010.08.37
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OpenCitations Citation Count
2
Volume
10
Issue
8
Start Page
4451
End Page
4458
Web of Science™ Citations
4
checked on May 29, 2026
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3
checked on May 29, 2026
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