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rdf:type
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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.
- 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. (en)
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Title
| - On the dimension of the solution set to the homogeneous linear differential equation of the first order
- On the dimension of the solution set to the homogeneous linear differential equation of the first order (en)
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skos:prefLabel
| - On the dimension of the solution set to the homogeneous linear differential equation of the first order
- On the dimension of the solution set to the homogeneous linear differential equation of the first order (en)
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skos:notation
| - RIV/67985840:_____/12:00384217!RIV13-AV0-67985840
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http://linked.open...avai/predkladatel
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/67985840:_____/12:00384217
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - functional differential equation; boundary value problem; solution set (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Czechoslovak Mathematical Journal
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Hakl, Robert
- Domoshnitsky, A.
- Půža, Bedřich
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http://linked.open...ain/vavai/riv/wos
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issn
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number of pages
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http://bibframe.org/vocab/doi
| - 10.1007/s10587-012-0062-1
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is http://linked.open...avai/riv/vysledek
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