Self-adjoint extensions of linear Hamiltonian differential systems and discrete symplectic systems: unified

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Authors

ZEMÁNEK Petr

Year of publication 2025
Type Article in Periodical
Magazine / Source Banach Journal of Mathematical Analysis
MU Faculty or unit

Faculty of Science

Citation
web https://doi.org/10.1007/s43037-025-00415-8
Doi http://dx.doi.org/10.1007/s43037-025-00415-8
Keywords Dynamic symplectic system; Linear relations; Self-adjoint extension
Description Linear relations associated with dynamic symplectic systems on an arbitrary time scale are introduced, and all self-adjoint extensions of the corresponding minimal linear relation are characterized. This provides a unification and significant extension to any time scale of analogous results for linear Hamiltonian differential systems and discrete symplectic systems published in the last decades.
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