Work

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

Year: 2025

Type: article

Abstract: 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.

Source: Banach Journal of Mathematical Analysis

DOI: 10.1007/s43037-025-00415-8

Author: Petr Zemánek

Institution: Masaryk University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Grantová Agentura České Republiky, Masarykova Univerzita