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Description
| - The paper of monographic type collects and supplements previous author's results. The work deals with the question on the existence and uniqueness of a solution of the initial value problem for two-dimensional systems of linear functional differential equations. Unimprovable efficient conditions sufficient for the unique solvability of the problem considered are established. The question on the existence of a constant-sign solution is also studied in detail. In other words, theorems on systems of linear functional differential inequalities (maximum principles) are discussed, which play a crucial role not only in studies of solvability of linear and non-linear problems but also for other topics related to the theory of boundary value problems (e.g., oscillation theory, asymptotic theory, etc.).
- The paper of monographic type collects and supplements previous author's results. The work deals with the question on the existence and uniqueness of a solution of the initial value problem for two-dimensional systems of linear functional differential equations. Unimprovable efficient conditions sufficient for the unique solvability of the problem considered are established. The question on the existence of a constant-sign solution is also studied in detail. In other words, theorems on systems of linear functional differential inequalities (maximum principles) are discussed, which play a crucial role not only in studies of solvability of linear and non-linear problems but also for other topics related to the theory of boundary value problems (e.g., oscillation theory, asymptotic theory, etc.). (en)
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Title
| - On the initial value problem for two-dimensional linear functional differential systems
- On the initial value problem for two-dimensional linear functional differential systems (en)
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skos:prefLabel
| - On the initial value problem for two-dimensional linear functional differential systems
- On the initial value problem for two-dimensional linear functional differential systems (en)
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skos:notation
| - RIV/67985840:_____/10:00347003!RIV11-GA0-67985840
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA201/06/0254), P(GP201/04/P183), Z(AV0Z10190503)
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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:_____/10:00347003
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - two-dimensional linear functional differential system; initial value problem; unique solvability; theorem on differential inequality (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
| - Memoirs on Differential Equations and Mathematical Physics
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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...vavai/riv/projekt
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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
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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is http://linked.open...avai/riv/vysledek
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