"RIV/67985840:_____/12:00380708" . . . "Zamora, M." . "22"^^ . "Topological Methods in Nonlinear Analysis" . "158249" . "PL - Polsk\u00E1 republika" . . . "Periodic solutions to singular second order differential equations: the repulsive case"@en . . "Periodic solutions to singular second order differential equations: the repulsive case" . "1230-3429" . "Torres, P. J." . . "Hakl, Robert" . . . . "Periodic solutions to singular second order differential equations: the repulsive case"@en . "singular nonlinear boundary value problem; positive solutions; periodic solutions"@en . "3"^^ . "[995155E39BBD]" . "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." . . "2" . "Periodic solutions to singular second order differential equations: the repulsive case" . "39" . "I" . . "000305813200001" . . "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."@en . "1"^^ . . . "RIV/67985840:_____/12:00380708!RIV13-AV0-67985840" . .