Simple Floquet Theory on Time Scales
Result description
:The author proves the following theorem. Let $a(t)$ be rd-continuous and regressive on a $T$-periodic time scale $Bbb T$(with a minor restriction on $Bbb T$). Then any nontrivial solution $phi(t)$ of the first order time scale equation $x^Delta=a(t),x$ has the form $phi(t)=p(t),e_b(t,t_0)$ on $Bbb T$, where $b>0$, $p(t+2T)=p(t)$ on $Bbb T$, and $e_b(t,t_0)$ is the time scale exponential function.
Keywords
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/67985840:_____/05:00025950
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Simple Floquet Theory on Time Scales
Original language description
:The author proves the following theorem. Let $a(t)$ be rd-continuous and regressive on a $T$-periodic time scale $Bbb T$(with a minor restriction on $Bbb T$). Then any nontrivial solution $phi(t)$ of the first order time scale equation $x^Delta=a(t),x$ has the form $phi(t)=p(t),e_b(t,t_0)$ on $Bbb T$, where $b>0$, $p(t+2T)=p(t)$ on $Bbb T$, and $e_b(t,t_0)$ is the time scale exponential function.
Czech name
Prosta Floquet Theory na Time Scales
Czech description
Floquetova teorie na time scalech
Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
GA201/01/0079: Qualitative theory of solutions of difference equations
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proc. of the Eight Internat. Conf. on Difference Equations and Applications
ISBN
1-58488-536-X
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
1-6
Publisher name
Chapman & Hall /CRC
Place of publication
Boca Raton - New York - Singapore
Event location
Místo konání akce
Event date
Jan 1, 2003
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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Basic information
Result type
D - Article in proceedings
CEP
BA - General mathematics
Year of implementation
2005