Equivalence problem and integrability of the Riccati equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F10%3A00190508" target="_blank" >RIV/68407700:21340/10:00190508 - 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
Equivalence problem and integrability of the Riccati equations
Original language description
We consider the class of general real Riccati equations and find its Lie group of equivalence transformations. Using the Lie algebra of this Lie group and its invariants we formulate criteria of equivalence of the Riccati equations. These criteria determine some cases of the general Riccati equations, which are integrable in quadratures.
Czech name
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Czech description
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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
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
NODEA-Nonlinear Differential Equations and Applications
ISSN
1021-9722
e-ISSN
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Volume of the periodical
17
Issue of the periodical within the volume
3
Country of publishing house
CH - SWITZERLAND
Number of pages
18
Pages from-to
371-388
UT code for WoS article
000277957400007
EID of the result in the Scopus database
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