Attributes | Values |
---|
rdf:type
| |
Description
| - The principal aim of this paper is to state and prove the so called Reid roundabout theorem for symplectic dynamic system (S) z<sup>\Delta</sup>=S<sub>t</sub>z on an arbitrary time scale T, so that the well known case of differential linear Hamiltonian systems (T=R) and recently developed case of discrete symplectic systems (T=Z) are unified. We list conditions which are equivalent to the positivity of the quadratic functional associated with (S), e.g. disconjugacy (in terms of no focal points of a conjoined basis) of (S), no generalized zeros for vector solutions of (S), the existence of a solution to the corresponding Riccati matrix equation. A certain normality assumption is employed. The result requires treatment of the quadratic functionals both with general and separated boundary conditions.
- The principal aim of this paper is to state and prove the so called Reid roundabout theorem for symplectic dynamic system (S) z<sup>\Delta</sup>=S<sub>t</sub>z on an arbitrary time scale T, so that the well known case of differential linear Hamiltonian systems (T=R) and recently developed case of discrete symplectic systems (T=Z) are unified. We list conditions which are equivalent to the positivity of the quadratic functional associated with (S), e.g. disconjugacy (in terms of no focal points of a conjoined basis) of (S), no generalized zeros for vector solutions of (S), the existence of a solution to the corresponding Riccati matrix equation. A certain normality assumption is employed. The result requires treatment of the quadratic functionals both with general and separated boundary conditions. (en)
- The principal aim of this paper is to state and prove the so called Reid roundabout theorem for symplectic dynamic system (S) z<sup>\Delta</sup>=S<sub>t</sub>z on an arbitrary time scale T, so that the well known case of differential linear Hamiltonian systems (T=R) and recently developed case of discrete symplectic systems (T=Z) are unified. We list conditions which are equivalent to the positivity of the quadratic functional associated with (S), e.g. disconjugacy (in terms of no focal points of a conjoined basis) of (S), no generalized zeros for vector solutions of (S), the existence of a solution to the corresponding Riccati matrix equation. A certain normality assumption is employed. The result requires treatment of the quadratic functionals both with general and separated boundary conditions. (cs)
|
Title
| - Reid roundabout theorem for symplectic dynamic systems on time scales
- Reid roundabout theorem for symplectic dynamic systems on time scales (en)
- Reid roundabout theorem for symplectic dynamic systems on time scales (cs)
|
skos:prefLabel
| - Reid roundabout theorem for symplectic dynamic systems on time scales
- Reid roundabout theorem for symplectic dynamic systems on time scales (en)
- Reid roundabout theorem for symplectic dynamic systems on time scales (cs)
|
skos:notation
| - RIV/00216224:14310/01:00008164!RIV08-GA0-14310___
|
http://linked.open.../vavai/riv/strany
| |
http://linked.open...avai/riv/aktivita
| |
http://linked.open...avai/riv/aktivity
| - P(GA201/98/0677), P(GA201/99/0295)
|
http://linked.open...iv/cisloPeriodika
| |
http://linked.open...vai/riv/dodaniDat
| |
http://linked.open...aciTvurceVysledku
| |
http://linked.open.../riv/druhVysledku
| |
http://linked.open...iv/duvernostUdaju
| |
http://linked.open...titaPredkladatele
| |
http://linked.open...dnocenehoVysledku
| |
http://linked.open...ai/riv/idVysledku
| - RIV/00216224:14310/01:00008164
|
http://linked.open...riv/jazykVysledku
| |
http://linked.open.../riv/klicovaSlova
| - time scale; symplectic system; linear Hamiltonian system; quadratic functional; disconjugacy; focal point; principal solution; Riccati equation; Jacobi condition; Legendre condition (en)
|
http://linked.open.../riv/klicoveSlovo
| |
http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
|
http://linked.open...ontrolniKodProRIV
| |
http://linked.open...i/riv/nazevZdroje
| - Applied Mathematics and Optimization
|
http://linked.open...in/vavai/riv/obor
| |
http://linked.open...ichTvurcuVysledku
| |
http://linked.open...cetTvurcuVysledku
| |
http://linked.open...vavai/riv/projekt
| |
http://linked.open...UplatneniVysledku
| |
http://linked.open...v/svazekPeriodika
| |
http://linked.open...iv/tvurceVysledku
| |
issn
| |
number of pages
| |
http://localhost/t...ganizacniJednotka
| |