Constructive analysis of periodic solutions with interval halving

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00392466" target="_blank" >RIV/67985840:_____/13:00392466 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1186/1687-2770-2013-57" target="_blank" >http://dx.doi.org/10.1186/1687-2770-2013-57</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/1687-2770-2013-57" target="_blank" >10.1186/1687-2770-2013-57</a>

Result language
angličtina
Original language name
Constructive analysis of periodic solutions with interval halving
Original language description
For a constructive analysis of the periodic boundary value problem for systems of non-linear non-autonomous ordinary differential equations, a numerical-analytic approach is developed, which allows one to both study the solvability and construct approximations to the solution. An interval halving technique is introduced by using which one can weaken significantly the conditions required to guarantee the convergence. The main assumption on the equation is that the non-linearity is locally Lipschitzian. An existence theorem based on properties of approximations is proved. A relation to Mawhin's continuation theorem is indicated.
Czech name
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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
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

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