Monotone solutions of second-order nonlinear differential equations
type: Item
instance of: scholarly article
title: Monotone solutions of second-order nonlinear differential equations
zbMATH Open document ID: 0959.34028
DOI: 10.1016/S0893-9659(99)00210-4
published in: Applied Mathematics Letters
publication date: 2000-12-04T00:00:00Z
review text: Necessary and sufficient conditions are obtained for the existence of a positive nondecreasing solution to equations of the form \[ [r(t)(y'(t))^{\alpha }]'+q(t)(y(t))^{\alpha }=0, \] where \(\alpha \) is a positive number and \(r, q\) are continuous functions. As applications, some comparison theorems are derived.
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 1540371
zbMATH Keywords: nonlinear differential equation of second order
zbMATH Keywords: monotone solution
zbMATH Keywords: comparison theorem
author: Wan-Tong Li
author: Xianling Fan
reviewed by: Mircea Crasmareanu
MaRDI profile type: Publication
cites work: Q3360519
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cites work: Q4865360
cites work: Monotone solutions of a class of nonlinear difference equations
full work available at URL: s0893-9659(99)00210-4
OpenAlex ID: W2033727405
description: scientific article; zbMATH DE number 1540371