Informace o publikaci

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

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ZEMÁNEK Petr

Rok publikování 2020
Druh Článek ve sborníku
Konference Progress on Difference Equations and Discrete Dynamical Systems. ICDEA 2019. Springer Proceedings in Mathematics & Statistics, vol 341
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://link.springer.com/chapter/10.1007/978-3-030-60107-2_25
Doi http://dx.doi.org/10.1007/978-3-030-60107-2_25
Klíčová slova discrete symplectic system; linear Hamiltonian differential system; linear relations; multi-valuedness; densely defined operator; time scale
Popis 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.
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