Description

• Title:
  Comparison results and existence of bounded solutions to strongly nonlinear second order differential equations
• Creator:
  Marcelli, Cristina;
  Papalini, Francesca
• Description:
  We investigate the existence of bounded solutions on the whole real line of the following strongly non-linear non-autonomous differential equation $$ (a(x(t))x'(t))'= f(t,x(t),x'(t)) \quad \text{a.e } t\in \mathbb R \tag \text{\rm E} $$ where $a(x)$ is a generic continuous positive function, $f$ is a Carathéodory right-hand side. We get existence results by combining the upper and lower-solutions method to fixed-point techniques. We also provide operative comparison criteria ensuring the well-ordering of pairs of upper and lower-solutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2009.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 34, No 1 (September 2009); 91 - 110;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.031/8615
• Subject:
  Nonlinear ordinary differential operator;
  bounded solutions;
  non-compact interval;
  upper and lower solutions;
  comparison result;
  Primary;
  34L30;
  34C11;
  Secondary;
  34A40
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.031
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other