On the dimension of the solution set to the homogeneous linear differential equation of the first order

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00384217" target="_blank" >RIV/67985840:_____/12:00384217 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10587-012-0062-1" target="_blank" >http://dx.doi.org/10.1007/s10587-012-0062-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10587-012-0062-1" target="_blank" >10.1007/s10587-012-0062-1</a>

Result language
angličtina
Original language name
On the dimension of the solution set to the homogeneous linear differential equation of the first order
Original language description
Consider the homogeneous equation $$u'(t)=/ell(u)(t)/qquadfor a.e. t/in[a,b]$$ where $/ell C([a,b];/Bbb R)/to L([a,b];/Bbb R)$ is a linear bounded operator. The efficient conditions guaranteeing that the solution set to the equation considered is one-dimensional, generated by a positive monotone function, are established. The results obtained are applied to get new efficient conditions sufficient for the solvability of a class of boundary value problems for first order linear functional differential equations.
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
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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