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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F12%3A00057205%21RIV13-GA0-14310___
rdf:type
skos:Concept n14:Vysledek
dcterms:description
In this paper, we examine time scale symplectic (or Hamiltonian) systems and the associated quadratic functionals which contain a forward shift in the time variable. Such systems and functionals have a close connection to Jacobi systems for calculus of variations and optimal control problems on time scales. Our results, among which we consider the Reid roundabout theorem, generalize the corresponding classical theory for time reversed discrete symplectic systems, as well as they complete the recently developed theory of time scale symplectic systems. In this paper, we examine time scale symplectic (or Hamiltonian) systems and the associated quadratic functionals which contain a forward shift in the time variable. Such systems and functionals have a close connection to Jacobi systems for calculus of variations and optimal control problems on time scales. Our results, among which we consider the Reid roundabout theorem, generalize the corresponding classical theory for time reversed discrete symplectic systems, as well as they complete the recently developed theory of time scale symplectic systems.
dcterms:title
New results for time reversed symplectic dynamic systems and quadratic functionals New results for time reversed symplectic dynamic systems and quadratic functionals
skos:prefLabel
New results for time reversed symplectic dynamic systems and quadratic functionals New results for time reversed symplectic dynamic systems and quadratic functionals
skos:notation
RIV/00216224:14310/12:00057205!RIV13-GA0-14310___
n14:predkladatel
n15:orjk%3A14310
n3:aktivita
n16:P n16:Z
n3:aktivity
P(GAP201/10/1032), Z(MSM0021622409)
n3:cisloPeriodika
15
n3:dodaniDat
n17:2013
n3:domaciTvurceVysledku
n7:6860591 n7:7050399
n3:druhVysledku
n13:J
n3:duvernostUdaju
n20:S
n3:entitaPredkladatele
n8:predkladatel
n3:idSjednocenehoVysledku
154095
n3:idVysledku
RIV/00216224:14310/12:00057205
n3:jazykVysledku
n11:eng
n3:klicovaSlova
Time scale; Symplectic system; Linear Hamiltonian system; Quadratic functional; Jacobi system; Reid roundabout theorem
n3:klicoveSlovo
n6:Jacobi%20system n6:Linear%20Hamiltonian%20system n6:Symplectic%20system n6:Time%20scale n6:Quadratic%20functional n6:Reid%20roundabout%20theorem
n3:kodStatuVydavatele
HU - Maďarsko
n3:kontrolniKodProRIV
[B9814F933EE1]
n3:nazevZdroje
Electronic Journal of Qualitative Theory of Differential Equations
n3:obor
n4:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n19:GAP201%2F10%2F1032
n3:rokUplatneniVysledku
n17:2012
n3:svazekPeriodika
Neuveden
n3:tvurceVysledku
Zemánek, Petr Šimon Hilscher, Roman
n3:zamer
n5:MSM0021622409
s:issn
1417-3875
s:numberOfPages
11
n18:organizacniJednotka
14310