Description

• Title:
  Some existence results for nonresonant difference equations on infinite intervals subject to nonlocal boundary conditions
• Creator:
  Maroncelli, Daniel;
  Rodríguez, Jesús
• Description:
  In this work we provide conditions for the existence of solutions to nonlinear boundary value problems of the form \begin{equation*} x_{k+1}=A_kx_k+f(k,x_k), \quad k\in\N_0:=\{0,1,\dots\}, \end{equation*} subject to boundary conditions \begin{equation*} \sum_{k=0}^\infty B_kx_k=G(x). \end{equation*} We will show that under appropriate assumptions on each $A_k$, $f$, each $B_k$, and $G$, $\ellp{n}$ solutions will exist for $p\in [1,\infty]$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2025 Daniel Maroncelli, Jesús Rodríguez;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2025.02.14
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 65, No 1 (March 2025); 123 - 143;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/58853/41555 ;https://apcz.umk.pl/TMNA/article/view/58853/41556
• Subject:
  Multipoint boundary value problems;
  nonlocal boundary conditions;
  $\ell^p$-space;
  infinite time intervals;
  Schauder's fixed point theorem;
  39A27, 39A70
• Identifier: https://apcz.umk.pl/TMNA/article/view/58853
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other