Discrete Fucik spectrum - anchoring rather than pasting

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F13%3A43918444" target="_blank" >RIV/49777513:23520/13:43918444 - isvavai.cz</a>
Result on the web
<a href="http://www.boundaryvalueproblems.com/content/2013/1/67" target="_blank" >http://www.boundaryvalueproblems.com/content/2013/1/67</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/1687-2770-2013-67" target="_blank" >10.1186/1687-2770-2013-67</a>

Result language
angličtina
Original language name
Discrete Fucik spectrum - anchoring rather than pasting
Original language description
In this short note we study a simple discrete Fucik spectrum. Trying to imitate standard continuous pasting procedures we derive a more complicated discrete analogue - anchoring. Using this technique we show that the problem of finding the parametrization of the second discrete Fucik branch is equivalent to solving a transcendent equation $Asin(x)=sin(Bx)$. Based on this equivalence, we state a conjecture that already the second branch has no elementary parametrization, i.e. cannot be described by finite number of elementary functions.
Czech name
—
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/ME09109" target="_blank" >ME09109: Boundary value problems with jumping nonlinearities: Fučík spectrum of continuous and discrete operators</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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