Periodic solutions to the Liénard type equations with phase attractive singularities

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SYSNO ASEP	0397163
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Periodic solutions to the Liénard type equations with phase attractive singularities
Author(s)	Hakl, Robert (MU-W)_{RID, SAI, ORCID} Zamora, M. (ES)
Source Title	Boundary Value Problems - ISSN 1687-2770 -, 6 March (2013), s. 47
Number of pages	20 s.
Language	eng - English
Country	US - United States
Keywords	Rayleigh-Plesset equation ; singular equation ; periodic solution
Subject RIV	BA - General Mathematics
Institutional support	MU-W - RVO:67985840
UT WOS	000325705400003
EID SCOPUS	84887868511
DOI	10.1186/1687-2770-2013-47
Annotation	Sufficient conditions are established guaranteeing the existence of a positive periodic solution to the Liénard type equation with singularities in the phase variable at zero. The results obtained are rewritten for the particular type of the equation which covers also the so-called Rayleigh-Plesset equation, frequently used in fluid mechanics to model the bubbel dynamics in liquid. In the paper, there is studied the case with the attractive singularity in the phase variable. The results obtained assure that there exists a positive periodic solution to the above-mentioned equation if the power of the singularity is sufficiently large.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2014

Number of the records: 1