A note on the equivalence between even order Sturm-Liouville equations and symplectic systems on time scales

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F13%3A00065916" target="_blank" >RIV/00216224:14310/13:00065916 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.aml.2012.04.009" target="_blank" >http://dx.doi.org/10.1016/j.aml.2012.04.009</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2012.04.009" target="_blank" >10.1016/j.aml.2012.04.009</a>

Result language
angličtina
Original language name
A note on the equivalence between even order Sturm-Liouville equations and symplectic systems on time scales
Original language description
The 2n-th order Sturm-Liouville differential and difference equations can be written as the linear Hamiltonian differential systems and symplectic difference systems, respectively. In this paper, a similar result is given for the 2n-th order Sturm-Liouville equation on time scales with using time reversed symplectic dynamic systems. Moreover, we show that this transformation preserves the value of the corresponding quadratic functionals which enables a further generalization of the theory for continuousand discrete Sturm-Liouville equations.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F10%2F1032" target="_blank" >GAP201/10/1032: Difference equations and dynamic equations on time scales III</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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