On a nonlinear second order differential equation with oscillating coefficient
type: Item
instance of: scholarly article
title: On a nonlinear second order differential equation with oscillating coefficient
zbMATH Open document ID: 0771.34027
published in: Differential and Integral Equations
publication date: 1993-06-29T00:00:00Z
review text: The nonlinear equation (1) \((p(t)x'(t))'+g(t,x(t))=0\) is considered, where \(p:[0,\infty)\to R\), \(g:[0,\infty)\times R\to R\) are continuous and \(p(t)>0\). Sufficient conditions and necessary conditions are established which ensure that (1) has at least a positive decreasing solution which tends to zero as \(t\to\infty\) and at least a positive decreasing solution which has a nonzero limit as \(t\to\infty\).
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34C29
zbMATH DE Number: 219694
zbMATH Keywords: nonlinear equation
zbMATH Keywords: positive decreasing solution
author: M. Cecchi
author: Mauro Marini
author: Gabriele Villari
reviewed by: Izabela Foltyńska
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 219694