Parameter-dependent linear ordinary differential equations and topology of domains

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F21%3AA0000105" target="_blank" >RIV/47813059:19610/21:A0000105 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0022039621001522" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022039621001522</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2021.03.001" target="_blank" >10.1016/j.jde.2021.03.001</a>

Result language
angličtina
Original language name
Parameter-dependent linear ordinary differential equations and topology of domains
Original language description
The well-known solution theory for (systems of) linear ordinary differential equations undergoes significant changes when introducing an additional real parameter. Properties like the existence of fundamental sets of solutions or characterizations of such sets via nonvanishing Wronskians are sensitive to the topological properties of the underlying domain of the independent variable and the parameter. We give a complete characterization of the solvability of such parameter-dependent equations and systems in terms of topological properties of the domain. In addition, we also investigate this problem in the setting of Schwartz distributions.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/EF16_027%2F0008521" target="_blank" >EF16_027/0008521: Support of International Mobility of Researchers on SU</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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