The Fučík Spectrum as Two Regular Curves

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F19%3A43956200" target="_blank" >RIV/49777513:23520/19:43956200 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-030-26987-6_12" target="_blank" >http://dx.doi.org/10.1007/978-3-030-26987-6_12</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-26987-6_12" target="_blank" >10.1007/978-3-030-26987-6_12</a>

Result language
angličtina
Original language name
The Fučík Spectrum as Two Regular Curves
Original language description
In this paper, we investigate the structure of the Fučík Spectrum for the second order boundary value problem with one non-local boundary condition. We provide a new compact form of the implicit description of the Fučík Spectrum in the first quadrant. Presented compact form of the implicit description can be easily implemented in numerical computing packages or computer algebra systems and also leads to a suitable parametrization of the Fučík Spectrum. We prove that the Fučík Spectrum consists of two regular curves of $C^{1}$ class and parametrizations for both regular curves are provided. Presented approach can be adopted for problems with other non-local boundary conditions.
Czech name
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Czech description
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Project
<a href="/en/project/GA18-03253S" target="_blank" >GA18-03253S: Differential equations with special types of nonlinearities</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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