Description

• Title:
  Forced oscillations in strongly damped beam equation
• Creator:
  Ćwiszewski, Aleksander
• Description:
  It is proved that the extensible beam equation in Ball's model admits periodic solutions near equilibrium states if subject to external periodic force of high frequency. The approach is based on translation along trajectories, averaging method and homotopy invariants such as topological degree and fixed point index.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2011.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 37, No 2 (June 2011); 259 - 282;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.014/8403
• Subject:
  Beam equation;
  periodic solution;
  averaging;
  topological degree;
  fixed point index;
  Primary 47J35;
  35L70;
  Secondary 47H10;
  47H11
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.014
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other