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  • 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.
  • 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)
Title
  • Periodic solutions to singular second order differential equations: the repulsive case
  • Periodic solutions to singular second order differential equations: the repulsive case (en)
skos:prefLabel
  • Periodic solutions to singular second order differential equations: the repulsive case
  • Periodic solutions to singular second order differential equations: the repulsive case (en)
skos:notation
  • RIV/67985840:_____/12:00380708!RIV13-AV0-67985840
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...titaPredkladatele
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  • 158249
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  • RIV/67985840:_____/12:00380708
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  • singular nonlinear boundary value problem; positive solutions; periodic solutions (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [995155E39BBD]
http://linked.open...i/riv/nazevZdroje
  • Topological Methods in Nonlinear Analysis
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 39
http://linked.open...iv/tvurceVysledku
  • Hakl, Robert
  • Torres, P. J.
  • Zamora, M.
http://linked.open...ain/vavai/riv/wos
  • 000305813200001
issn
  • 1230-3429
number of pages
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