Bubble-type solutions of nonlinear singular problems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F10%3A10212406" target="_blank" >RIV/61989592:15310/10:10212406 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Bubble-type solutions of nonlinear singular problems

Original language description

The paper describes the set of all solutions of the 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 and p'(t) } 0 on (0,infinity), f(L) = 0 for some L } 0 and xf(x) {0 if x { L, x not= 0. By means of this result, the existence of a strictly increasing solution of this problem satisfying u(infinity) = L is proved under some additional assumptions. In particular cases this homoclinic solution determines an increasing mass density in centrally symmetric gas bubbles which are surrounded by an external liquid with density L.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

—

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

Mathematical and Computer Modelling

ISSN

0895-7177

e-ISSN

—

Volume of the periodical

51

Issue of the periodical within the volume

5-6

Country of publishing house

GB - UNITED KINGDOM

Number of pages

12

Pages from-to

—

UT code for WoS article

000273664800031

EID of the result in the Scopus database

—