On the solvability of a two point boundary value problem at resonance
type: Item
instance of: scholarly article
title: On the solvability of a two point boundary value problem at resonance
zbMATH Open document ID: 0787.34022
DOI: 10.12775/TMNA.1993.021
author: V. Pereyra
published in: Topological Methods in Nonlinear Analysis
publication date: 1994-05-15T00:00:00Z
review text: Let us consider the two point boundary value problem \(u''+u+g(x,u) =h(x)\) in \((0,\pi)\), \(u(0)=u(\pi)=0\), where \(h \in L^ 1(0,\pi)\) is given and \(g:(0,\pi) \times \mathbb{R} \to \mathbb{R}\) is a Carathéodory function. The solvability of this problem is studied under rather general growth restrictions on \(g\). Landesman-Lazer type sufficient conditions are considered.
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 482096
zbMATH Keywords: two point boundary value problem
zbMATH Keywords: growth restrictions
zbMATH Keywords: Landesman-Lazer type sufficient conditions
MaRDI profile type: Publication
full work available at URL: tmna.1993.021
OpenAlex ID: W4245461547
description: scientific article; zbMATH DE number 482096