J 2025

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

ZEMÁNEK, Petr

Basic information

Original name

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

Authors

ZEMÁNEK, Petr (203 Czech Republic, guarantor, belonging to the institution)

Edition

Banach Journal of Mathematical Analysis, Springer Basel AG, 2025, 2662-2033

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

Switzerland

Confidentiality degree

is not subject to a state or trade secret

References:

Impact factor

Impact factor: 1.100 in 2024

Organization unit

Faculty of Science

UT WoS

001445083400001

EID Scopus

2-s2.0-105000199655

Keywords in English

Dynamic symplectic system; Linear relations; Self-adjoint extension

Tags

Tags

International impact, Reviewed
Changed: 12/5/2025 10:25, Mgr. Marie Novosadová Šípková, DiS.

Abstract

In the original language

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.

Links

GA23-05242S, research and development project
Name: Oscilační teorie na hybridních časových doménách s aplikacemi ve spektrální teorii a maticové analýze
Investor: Czech Science Foundation, Oscillation theory on hybrid time domains with applications in spectral and matrix analysis