Inhomogeneous quadratic functionals on time scales
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F01%3A00008157" target="_blank" >RIV/00216224:14310/01:00008157 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Inhomogeneous quadratic functionals on time scales
Original language description
In [9] the author develops a unified theory for continuous (<b>T</b>=<b>R</b>) and discrete (<b>T</b>=<b>Z</b>) linear Hamiltonian systems on an arbitrary time scale <b>T</b>. In particular, he states that disconjugacy of the Hamiltonian system is a sufficient condition for positivity of the corresponding (homogeneous) quadratic functional. In this paper we present a similar condition for quadratic functionals on time scales with general (inhomogeneous) boundary conditions.
Czech name
Inhomogeneous quadratic functionals on time scales
Czech description
In [9] the author develops a unified theory for continuous (<b>T</b>=<b>R</b>) and discrete (<b>T</b>=<b>Z</b>) linear Hamiltonian systems on an arbitrary time scale <b>T</b>. In particular, he states that disconjugacy of the Hamiltonian system is a sufficient condition for positivity of the corresponding (homogeneous) quadratic functional. In this paper we present a similar condition for quadratic functionals on time scales with general (inhomogeneous) boundary conditions.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F98%2F0677" target="_blank" >GA201/98/0677: Difference equations and their applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2001
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
e-ISSN
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Volume of the periodical
253
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
473-481
UT code for WoS article
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EID of the result in the Scopus database
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