Description

• Title:
  Limiting cases of asymptotically positive linear conditions and solvability of Sturm-Liouville boundary-value problems of Duffing equations
• Creator:
  Qi, Huang;
  Yujun, Dong
• Description:
  In this paper we study the solvability of Sturm-Liouville BVPs for Duffing equations by means of homotopy continuation methods. We propose a new kind of solvable conditions on the nonlinear function in the equation. This kind of conditions can be seen as some limiting cases of the well-known asymptotically positive linear conditions. The obtained results generalize and unify some previous results by S. Villegas, T. Ma and L. Sanchez, and Y. Dong, respectively.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2005.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 26, No 2 (December 2005); 367 - 384;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.037/9290
• Subject:
  Sturm-Liouville BVPs;
  Duffing equations;
  limiting cases of asymptotically positive linear conditions;
  Fučik spectrum;
  existence of solutions;
  homotopy continuation methods;
  34B15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.037
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other