Periodic solutions of singular second order differential equations : upper and lower functions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00370679" target="_blank" >RIV/67985840:_____/11:00370679 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.na.2011.07.029" target="_blank" >http://dx.doi.org/10.1016/j.na.2011.07.029</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.na.2011.07.029" target="_blank" >10.1016/j.na.2011.07.029</a>

Result language

angličtina

Original language name

Periodic solutions of singular second order differential equations : upper and lower functions

Original language description

In this paper, we continue the study of the periodic problem for the second-order 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. Bothattractive and repulsive singularities are considered. The method relies on a novel technique of construction of lower and upper functions. As an application, we obtain new sufficient conditions for the existence of periodic solutions to the Rayleigh-Plesset equation.

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

2011

Confidentiality

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

Name of the periodical

Nonlinear Analysis: Theory, Methods & Applications

ISSN

0362-546X

e-ISSN

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Volume of the periodical

74

Issue of the periodical within the volume

18

Country of publishing house

GB - UNITED KINGDOM

Number of pages

16

Pages from-to

7078-7093

UT code for WoS article

000295714200023

EID of the result in the Scopus database

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