Periodic solutions to singular second order differential equations: the repulsive case

Result code in IS VaVaI

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Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Periodic solutions to singular second order differential equations: the repulsive case

Original language description

This paper is devoted to study the existence of periodic solutions to the second-order differential equation u '' + f(u)u' + g(u) = h(t, u), where h is a Caratheodory function and f, g are continuous functions on (0, infinity) which may have singularities at zero. The repulsive case is considered. By using Schaefer's fixed point theorem, new conditions for existence of periodic solutions are obtained. Such conditions are compared with those existent in the related literature and applied to the Rayleigh-Plesset equation, a physical model for the oscillations of a spherical bubble in a liquid under the influence of a periodic acoustic field. Such a model has been the main motivation of this work.

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

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2012

Confidentiality

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

Name of the periodical

Topological Methods in Nonlinear Analysis

ISSN

1230-3429

e-ISSN

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Volume of the periodical

39

Issue of the periodical within the volume

2

Country of publishing house

PL - POLAND

Number of pages

22

Pages from-to

199-220

UT code for WoS article

000305813200001

EID of the result in the Scopus database

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