. "2"^^ . "RIV/67985840:_____/13:00397163!RIV14-AV0-67985840" . "95803" . "I" . "6 March" . "Rayleigh-Plesset equation; singular equation; periodic solution"@en . "[EDCD73B476FB]" . "Boundary value problems" . "000325705400003" . . "Hakl, Robert" . . "Periodic solutions to the Li\u00E9nard type equations with phase attractive singularities"@en . "20"^^ . . "Periodic solutions to the Li\u00E9nard type equations with phase attractive singularities" . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "1687-2770" . . "Sufficient conditions are established guaranteeing the existence of a positive periodic solution to the Li\u00E9nard 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."@en . "1"^^ . . "Sufficient conditions are established guaranteeing the existence of a positive periodic solution to the Li\u00E9nard 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." . . . . "Zamora, M." . . . . "Periodic solutions to the Li\u00E9nard type equations with phase attractive singularities"@en . "10.1186/1687-2770-2013-47" . "RIV/67985840:_____/13:00397163" . "Periodic solutions to the Li\u00E9nard type equations with phase attractive singularities" . . .