Description

• Tytuł:
  Periodic solutions to singular second order differential equations: the repulsive case
• Twórca:
  Hakl, Robert;
  Torres, Pedro J.;
  Zamora, Manuel
• Opis:
  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 Carathéodory function and $f,g$ are continuous functions on $(0,\infty)$ 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.
• Dostępność obiektu:
  free access
• Prawa:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Data:
  2012.04.23
• Typ:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Język:
  English
• Źródło:
  Topological Methods in Nonlinear Analysis; Vol 39, No 2 (June 2012); 199 - 220;
  1230-3429
• Wydawca:
  Nicolaus Copernicus University in Toruń
• Relacja: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.012/8361
• Temat i słowa kluczowe:
  Singular nonlinear boundary value problems;
  positive solutions;
  periodic solutions;
  34B16;
  34B18;
  34C25
• Identyfikator: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.012
• Dostawca danych:
  Akademicka Platforma Czasopism
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