Positive solutions of higher order ordinary differential equations with general nonlinearities
type: Item
instance of: scholarly article
title: Positive solutions of higher order ordinary differential equations with general nonlinearities
zbMATH Open document ID: 0967.34004
author: M. Naito
author: Kimihiko Yano
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-09-10T00:00:00Z
review text: The authors study positive solutions to ordinary differential equations of the form \[ X^{(n)}\pm p(t)f(x)= 0,\tag{1} \] with \(n\geq 2\), \(p(t)\), \(f(x)\) are continuous, \(f(x)> 0\) for \(x>0\), \(p(t)\geq 0\) for \(t\geq t_0\). The existence of positive solutions to equation (1) is discussed for the general nonlinearity case.
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 1539396
zbMATH Keywords: higher-order ordinary differential equations
zbMATH Keywords: positive solution
zbMATH Keywords: nonlinearity
zbMATH Keywords: existence
reviewed by: I. V. Andrianov
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6953
OpenAlex ID: W2003957740
cites work: Oscillation, Continuation, and Uniqueness of Solutions of Retarded Differential Equations
cites work: Q5507879
cites work: Q5552290
cites work: On nonoscillatory solutions of functional differential equations with a general deviating argument
cites work: Unbounded nonoscillatory solutions of nonlinear ordinary differential equations of arbitrary order
cites work: On the nonoscillatory solutions of a sublinear even order differential equation
cites work: Q4163794
cites work: Positive solutions of nonlinear differential inequalities
cites work: A Note on Second Order Nonlinear Oscillation
DOI: 10.1006/JMAA.2000.6953
Recommended article: Q4327739
Recommended article: Positive solutions of a class of nonlinear ordinary differential equations
Recommended article: Q3568277
Recommended article: Q3550208
Recommended article: Positive solutions of a nonlinear ordinary differential equation
Recommended article: Positive Solutions of Nonlinear Second Order Ordinary Differential Equations
Recommended article: Q3431882
Recommended article: Positive solutions of a nonlinear higher order boundary-value problem
Recommended article: Q3009549
Recommended article: Q4527613
description: scientific article; zbMATH DE number 1539396