Linear operators associated with differential and difference
systems: What is different?

D 2020

Linear operators associated with differential and difference systems: What is different?

ZEMÁNEK, Petr

Basic information

Original name

Linear operators associated with differential and difference systems: What is different?

Authors

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

Edition

Cham, Progress on Difference Equations and Discrete Dynamical Systems. ICDEA 2019. Springer Proceedings in Mathematics & Statistics, vol 341, p. 435-448, 14 pp. 2020

Publisher

Springer

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10101 Pure mathematics

Country of publisher

Switzerland

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

printed version "print"

References:

URL

RIV identification code

RIV/00216224:14310/20:00114200

Organization unit

Faculty of Science

ISBN

978-3-030-60106-5

ISSN

DOI

http://dx.doi.org/10.1007/978-3-030-60107-2_25

Keywords in English

discrete symplectic system; linear Hamiltonian differential system; linear relations; multi-valuedness; densely defined operator; time scale

Abstract

V originále

The existence of a densely defined operator associated with (time-reversed) discrete symplectic systems is discussed and the necessity of the development of the spectral theory for these systems by using linear relations instead of operators is shown. An explanation of this phenomenon is provided by using the time scale calculus. In addition, the density of the domain of the maximal linear relation associated with the system is also investigated.

Links

GA16-00611S, research and development project

Name: Hamiltonovské a symplektické systémy: oscilační a spektrální teorie

Investor: Czech Science Foundation

Citovat

ZEMÁNEK, Petr. Linear operators associated with differential and difference systems: What is different? In Steve BaigentMartin BohnerSaber Elaydi. Progress on Difference Equations and Discrete Dynamical Systems. ICDEA 2019. Springer Proceedings in Mathematics & Statistics, vol 341. Cham: Springer, 2020, p. 435-448. ISBN 978-3-030-60106-5. Available from: https://dx.doi.org/10.1007/978-3-030-60107-2_25.

@inproceedings{1664203,
   author = {Zemánek, Petr},
   address = {Cham},
   booktitle = {Progress on Difference Equations and Discrete Dynamical Systems. ICDEA 2019. Springer Proceedings in Mathematics & Statistics, vol 341},
   doi = {http://dx.doi.org/10.1007/978-3-030-60107-2_25},
   editor = {Steve BaigentMartin BohnerSaber Elaydi},
   keywords = {discrete symplectic system; linear Hamiltonian differential system; linear relations; multi-valuedness; densely defined operator; time scale},
   howpublished = {tištěná verze "print"},
   language = {eng},
   location = {Cham},
   isbn = {978-3-030-60106-5},
   pages = {435-448},
   publisher = {Springer},
   title = {Linear operators associated with differential and difference systems: What is different?},
   url = {https://link.springer.com/chapter/10.1007/978-3-030-60107-2_25},
   year = {2020}
}

TY  - JOUR
ID  - 1664203
AU  - Zemánek, Petr
PY  - 2020
TI  - Linear operators associated with differential and difference systems: What is different?
PB  - Springer
CY  - Cham
SN  - 9783030601065
KW  - discrete symplectic system
KW  - linear Hamiltonian differential system
KW  - linear relations
KW  - multi-valuedness
KW  - densely defined operator
KW  - time scale
UR  - https://link.springer.com/chapter/10.1007/978-3-030-60107-2_25
L2  - https://link.springer.com/chapter/10.1007/978-3-030-60107-2_25
N2  - The existence of a densely defined operator associated with (time-reversed) discrete symplectic systems is discussed and the necessity of the development of the spectral theory for these systems by using linear relations instead of operators is shown. An explanation of this phenomenon is provided by using the time scale calculus. In addition, the density of the domain of the maximal linear relation associated with the system is also investigated.
ER  -

ZEMÁNEK, Petr. Linear operators associated with differential and difference systems: What is different? In Steve BaigentMartin BohnerSaber Elaydi. \textit{Progress on Difference Equations and Discrete Dynamical Systems. ICDEA 2019. Springer Proceedings in Mathematics \&{} Statistics, vol 341}. Cham: Springer, 2020, p.~435-448. ISBN~978-3-030-60106-5. Available from: https://dx.doi.org/10.1007/978-3-030-60107-2\_{}25.

Detailed Information on Publication Record