Sturmian theory for a class of nonlinear second-order differential equations
type: Item
instance of: scholarly article
title: Sturmian theory for a class of nonlinear second-order differential equations
zbMATH Open document ID: 0816.34026
author: Eiji Yanagida
published in: Journal of Mathematical Analysis and Applications
publication date: 1994-12-14T00:00:00Z
review text: The author extends some results for Sturmian theory to the class of nonlinear second-order differential equations satisfying the boundary- value problem \(u_{xx} + f(s(x)u)u =0\), \((x \in (a,b))\), \(u(a) \cos (\alpha) - u_ x(a) \sin (\alpha) = 0\), \(u(b) \cos (\beta) - u_ x(b) \sin (\beta) = 0\) for certain parameters \(\alpha\) and \(\beta\). In the equation \(f\) and \(s\) satisfy certain continuity requirements and \(f(t) > 0\) for \(t \neq 0\), and \(s(x) > 0\) for \(x \geq a\).
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 703351
zbMATH Keywords: Sturmian theory
zbMATH Keywords: nonlinear second-order differential equations
zbMATH Keywords: boundary- value problem
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1380
OpenAlex ID: W1988639536
DOI: 10.1006/JMAA.1994.1380
description: scientific article; zbMATH DE number 703351