Carathéodory's method for a class of second order differential equations on the half-line
type: Item
instance of: scholarly article
title: Carathéodory's method for a class of second order differential equations on the half-line
zbMATH Open document ID: 1116.34024
author: Shuguan Ji
author: Zhenxin Liu
author: Shaoyun Shi
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-12-07T00:00:00Z
review text: The authors study the following boundary value problem \[ (p(t)x'(t))'-f(t,x(t))=0,\;\;t\in(0,+\infty), \] \[ x(0)=\alpha,\;\;x(+\infty)=\beta, \] where \(p:(0,+\infty)\to (0,+\infty)\) is a continuously differentiable function, \(f:(0,+\infty)\times \mathbb R\to \mathbb R\) is a continuous function and \(\alpha\), \(\beta\) are given real constants. By extending the classical Carathéodory method for free problems in the calculus of variations they provide a~technique for obtaining the solutions to differential equations on the half-line.
reviewed by: Mirosława Zima
Mathematics Subject Classification ID: 34B40
zbMATH DE Number: 5078891
zbMATH Keywords: Carathéodory's method
zbMATH Keywords: boundary value problems
zbMATH Keywords: calculus of variations
zbMATH Keywords: half-line
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.02.047
OpenAlex ID: W2040984474
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DOI: 10.1016/J.JMAA.2006.02.047
description: scientific article; zbMATH DE number 5078891