Linear Hamiltonian systems on time scales: transformations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F99%3A00008158" target="_blank" >RIV/00216224:14310/99:00008158 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
Linear Hamiltonian systems on time scales: transformations
Original language description
In this work we develop a transformation theory for linear Hamiltonian systems on an arbitrary time scale T. We prove that, under suitable assumptions, a linear Hamiltonian system is transformed into a system of the same form, which includes the corresponding continuous (T=R) and discrete (T=Z) results as special cases. Since we allow the matrix B to be singular, the important Sturm-Liouville equations of higher order may be studied as a special linear Hamiltonian system.
Czech name
Linear Hamiltonian systems on time scales: transformations
Czech description
In this work we develop a transformation theory for linear Hamiltonian systems on an arbitrary time scale T. We prove that, under suitable assumptions, a linear Hamiltonian system is transformed into a system of the same form, which includes the corresponding continuous (T=R) and discrete (T=Z) results as special cases. Since we allow the matrix B to be singular, the important Sturm-Liouville equations of higher order may be studied as a special linear Hamiltonian system.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
1999
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)