Description

• Title:
  A note on bounded solutions of second order differential equations at resonance
• Creator:
  Karpińska, Wioletta
• Description:
  In the paper we study the existence of bounded solutions for differential equations of the form: $ x''-Ax= f(t,x)$, where $A\in L(H)$, $f: {\mathbb R}\times H \to H$ ($H$ -- a Hilbert space) is a continuous mapping. Using a perturbation of the equation, the Leray-Schauder topological degree and fixed point theory, we overcome the difficulty that the linear problem is non-Fredholm in any resonable Banach space.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  1999.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 14, No 2 (December 1999); 371 - 384;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.040/10021
• Subject:
  Differential equations;
  resonance;
  boundedness;
  unbounded domain;
  Primary 34C11;
  Secondary 34G20;
  47H10;
  47H11
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.040
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other