On the Lipschitz behavior of solution maps of a class of differential inclusions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00453288" target="_blank" >RIV/67985556:_____/15:00453288 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s11228-015-0323-x" target="_blank" >http://dx.doi.org/10.1007/s11228-015-0323-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11228-015-0323-x" target="_blank" >10.1007/s11228-015-0323-x</a>

Result language
angličtina
Original language name
On the Lipschitz behavior of solution maps of a class of differential inclusions
Original language description
We consider a general differential inclusion which is parameterized by a parameter. We perform time discretization and present conditions under which the discretized solution map is locally Lipschitz. Further, if the Lipschitzian modulus is bounded in some sense, we show that it is possible to obtain the local Lipschitzian property even for the original (not discretized) solution map. We conclude the paper with an example concerning stability analysis of nonregular electrical circuits with ideal diodes.
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
—

Project
<a href="/en/project/GAP201%2F12%2F0671" target="_blank" >GAP201/12/0671: Variational and numerical analysis in nonsmooth continuum mechanics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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