Description

• Title:
  Existence of non-collision periodic solutions for second order singular dynamical systems
• Creator:
  Liang, Shuqing
• Description:
  In this paper, we study the existence of non-collision periodic solutions for the second order singular dynamical systems. We consider the systems where the potential have a repulsive or attractive type behavior near the singularity. The proof is based on Schauder's fixed point theorem involving a new type of cone. The so-called strong force condition is not needed and the nonlinearity could have sign changing behavior. We allow that the Green function is non-negative, so the critical case for the repulsive case is covered. Recent results in the literature are generalized and improved.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2010.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 35, No 1 (March 2010); 127 - 137;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.008/8438
• Subject:
  Second order dynamical system;
  non-collision periodic solution;
  strong singularity;
  weak singularity;
  Schauder's fixed point theorem;
  34B16
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.008
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other