On sign constant and monotone solution of secondorder linear functional differential equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12410%2F04%3A00008457" target="_blank" >RIV/60076658:12410/04:00008457 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

On sign constant and monotone solution of secondorder linear functional differential equations

Original language description

In this paper, the question on the existence and uniqueness of a constant sign solution of the initial value problem u´´ (t) = l (u)(t) + q(t), u(a) = c1, u´(a) = c2 is studied. More precisely, the nonimprovable effective sufficient conditions for a linear operator l Î C ([a,b];R) # L ([a,b];R) are established guaranteeing that the considered problem with q Î L ([a,b];R) and c1, c2 Î R has a unique solution and this solution is nonnegative. The question on the existence and uniqueness of a monotone solution of the same problem is discussed, as well.

Czech name

Monnotonní řešení funkcionálních differenciálních rovnic 2. řádu a řešení těchto rovnic s konstantním znaménkem

Czech description

Monnotonní řešení funkcionálních differenciálních rovnic 2. řádu a řešení těchto rovnic s konstantním znaménkem

Type

J_x - 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

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2004

Confidentiality

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

Name of the periodical

Memoirs on Diff. Equat. Math. Phys.

ISSN

1512-0015

e-ISSN

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Volume of the periodical

33

Issue of the periodical within the volume

1

Country of publishing house

GE - GEORGIA

Number of pages

37

Pages from-to

51-87

UT code for WoS article

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EID of the result in the Scopus database

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