Strictly increasing solutions of a nonlinear singular differential equation arising in hydrodynamics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F10%3A10212410" target="_blank" >RIV/61989592:15310/10:10212410 - 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

Strictly increasing solutions of a nonlinear singular differential equation arising in hydrodynamics

Original language description

This paper investigates singular initial problems(p(t)u')' = p(t)f(u), u(0) = B, u'(0) = 0; on the half-line [0,infinity). Here B { 0 is a parameter, p(0) = 0, p' } 0 on (0,infinity), f(L) = 0 for some L } 0 and xf(x) { 0 if L_0 { x { L and x not equal to 0. The existence of a strictly increasing solution to the problem for which there exists a finite c } 0 such that u(c) = L is discussed. This is fundamental for the existence of a strictly increasing solution of the problem having its limit equal to Las t tends to infinity, which has great importance in applications.

Czech name

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Czech description

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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

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

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

Name of the periodical

Nonlinear Analysis, Theory, Methods &amp; Applications

ISSN

0362-546X

e-ISSN

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Volume of the periodical

2010

Issue of the periodical within the volume

72

Country of publishing house

GB - UNITED KINGDOM

Number of pages

5

Pages from-to

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UT code for WoS article

000273188500095

EID of the result in the Scopus database

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