Boundary and periodic value problems for systems of nonlinear second order differential equations
type: Item
instance of: scholarly article
title: Boundary and periodic value problems for systems of nonlinear second order differential equations
zbMATH Open document ID: 0790.34022
DOI: 10.12775/TMNA.1993.019
author: Marlène Frigon
published in: Topological Methods in Nonlinear Analysis
publication date: 1994-06-22T00:00:00Z
review text: The author considers the boundary and periodic value problem for system of nonlinear second order differential equations \(x''(t)=f(t,x(t),x'(t))\) a.e. \(t \in[0,1]\), \(x \in BC\), where \(f:[0,1] \times \mathbb{R}^{2n} \to \mathbb{R}^ n\) is a Carathéodory function and \(BC\) denotes a boundary condition such as non-homogeneous Dirichlet, Neumann, Sturm-Liouville conditions, or the periodic condition. Existence results are obtained on assumptions which are generalizations of the conventional assumptions for such problems. The proofs rely on the Schauder fixed point theorem.
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34L30
zbMATH DE Number: 482094
zbMATH Keywords: existence results
zbMATH Keywords: boundary and periodic value problem
zbMATH Keywords: system of nonlinear second order differential equations
zbMATH Keywords: Schauder fixed point theorem
MaRDI profile type: Publication
full work available at URL: tmna.1993.019
OpenAlex ID: W2588391411
description: scientific article; zbMATH DE number 482094