Every ordinary differential equation with a strict Lyapunov function is a gradient system
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10104702" target="_blank" >RIV/00216208:11320/12:10104702 - isvavai.cz</a>
Result on the web
<a href="http://download.springer.com/static/pdf/116/art%253A10.1007%252Fs00605-011-0322-4.pdf?auth66=1362496007_5f8d92060be6bff3b8a8d8f52b8976c9&ext=.pdf" target="_blank" >http://download.springer.com/static/pdf/116/art%253A10.1007%252Fs00605-011-0322-4.pdf?auth66=1362496007_5f8d92060be6bff3b8a8d8f52b8976c9&ext=.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00605-011-0322-4" target="_blank" >10.1007/s00605-011-0322-4</a>
Alternative languages
Result language
angličtina
Original language name
Every ordinary differential equation with a strict Lyapunov function is a gradient system
Original language description
We explain and prove the statement from the title. This allows us to formulate a new type of gradient inequality and to obtain a new stabilization result for gradient-like ordinary differential equations.
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
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Monatshefte für Mathematik
ISSN
0026-9255
e-ISSN
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Volume of the periodical
166
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
16
Pages from-to
57-72
UT code for WoS article
000303459100003
EID of the result in the Scopus database
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