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@article{955037,
author = {Šimon Hilscher, Roman and Zemánek, Petr},
article_location = {Szeged},
article_number = {15},
keywords = {Time scale; Symplectic system; Linear Hamiltonian system; Quadratic functional; Jacobi system; Reid roundabout theorem},
language = {eng},
issn = {1417-3875},
journal = {Electronic Journal of Qualitative Theory of Differential Equations},
note = {Proc. Colloq. Qual. Theory Differ. Equ., Vol. 9, No. 15, 11 pp. (electronic), Electron. J. Qual. Theory Differ. Equ., 2012},
title = {New results for time reversed symplectic dynamic systems and quadratic functionals},
volume = {Neuveden},
year = {2012}
}
TY - JOUR
ID - 955037
AU - Šimon Hilscher, Roman - Zemánek, Petr
PY - 2012
TI - New results for time reversed symplectic dynamic systems and quadratic functionals
JF - Electronic Journal of Qualitative Theory of Differential Equations
VL - Neuveden
IS - 15
SP - 1-11
EP - 1-11
PB - Bolyai Institute, University of Szeged
SN - 14173875
N1 - Proc. Colloq. Qual. Theory Differ. Equ., Vol. 9, No. 15, 11 pp. (electronic), Electron. J. Qual. Theory Differ. Equ., 2012
KW - Time scale
KW - Symplectic system
KW - Linear Hamiltonian system
KW - Quadratic functional
KW - Jacobi system
KW - Reid roundabout theorem
N2 - 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.
ER -
ŠIMON HILSCHER, Roman and Petr ZEMÁNEK. New results for time reversed symplectic dynamic systems and quadratic functionals. \textit{Electronic Journal of Qualitative Theory of Differential Equations}. Szeged: Bolyai Institute, University of Szeged, 2012, Neuveden, No~15, p.~1-11. ISSN~1417-3875.
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