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  • 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. Both attractive 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.
  • 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. Both attractive 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. (en)
Title
  • Periodic solutions of singular second order differential equations : upper and lower functions
  • Periodic solutions of singular second order differential equations : upper and lower functions (en)
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  • Periodic solutions of singular second order differential equations : upper and lower functions
  • Periodic solutions of singular second order differential equations : upper and lower functions (en)
skos:notation
  • RIV/67985840:_____/11:00370679!RIV12-AV0-67985840
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  • Z(AV0Z10190503)
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  • 18
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  • 219946
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  • RIV/67985840:_____/11:00370679
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  • second-order differential equation; singularity at the phase variable; Rayleigh-Plesset equation (en)
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  • GB - Spojené království Velké Británie a Severního Irska
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  • [6F0B2ED829E8]
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  • Nonlinear Analysis: Theory, Methods & Applications
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  • 74
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  • Hakl, Robert
  • Torres, P. J.
  • Zamora, M.
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  • 000295714200023
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issn
  • 0362-546X
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.na.2011.07.029
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