On the initial value problem for two-dimensional linear functional differential systems

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On the initial value problem for two-dimensional linear functional differential systems

Popis výsledku v původním jazyce

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 linearfunctional 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.).

Název v anglickém jazyce

On the initial value problem for two-dimensional linear functional differential systems

Popis výsledku anglicky

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 linearfunctional 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.).

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2010

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Memoirs on Differential Equations and Mathematical Physics

ISSN

1512-0015

e-ISSN

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Svazek periodika

50

Číslo periodika v rámci svazku

-

Stát vydavatele periodika

GE - Gruzie

Počet stran výsledku

127

Strana od-do

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Kód UT WoS článku

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EID výsledku v databázi Scopus

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