J 2023

Non-limit-circle and limit-point criteria for symplectic and linear Hamiltonian systems

ZEMÁNEK, Petr

Basic information

Original name

Non-limit-circle and limit-point criteria for symplectic and linear Hamiltonian systems

Authors

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

Edition

Mathematische Nachrichten, Wiley, 2023, 0025-584X

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Germany

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 1.000 in 2022

RIV identification code

RIV/00216224:14310/23:00134071

Organization unit

Faculty of Science

UT WoS

000870904500001

Keywords in English

criteria; limit-circle case; limit-point case; linear Hamiltonian differential system; square-integrable solution; symplectic system; time scale

Tags

Tags

International impact, Reviewed
Změněno: 24/2/2023 10:02, Mgr. Marie Šípková, DiS.

Abstract

V originále

Several necessary and/or sufficient conditions for the existence of a non–square-integrable solution of symplectic dynamic systems with general linear dependence on the spectral parameter on time scales are established and a sufficient condition for the limit-point case is derived. Almost all presented results are new even in the continuous and discrete cases, that is, for the linear Hamiltonian differential systems and for the discrete symplectic systems, respectively.

Links

GA16-00611S, research and development project
Name: Hamiltonovské a symplektické systémy: oscilační a spektrální teorie
Investor: Czech Science Foundation