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@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.
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