Nonoscillation of second-order nonhomogeneous differential equations
type: Item
instance of: scholarly article
title: Nonoscillation of second-order nonhomogeneous differential equations
zbMATH Open document ID: 0544.34025
DOI: 10.1016/0022-247X(84)90202-6
author: N. E. Zubov
published in: Journal of Mathematical Analysis and Applications
publication date: 1984-01-01T00:00:00Z
review text: In this paper sufficient conditions are obtained for nonoscillation of all solutions of \((r(t)y')'-p(t)y=f(t)\) and all bounded solutions of \((r(t)y')'-p(t)y^{\gamma}=f(t),\) where r,p and f are real-valued continuous functions on \([0,\infty)\) such that \(r(t)>0\) and p(t) and f(t) are allowed to change sign and \(\gamma>0\) is a quotient of odd integers. In case of the linear nonhomogeneous equations this is achieved by the employment of a transformation. Recently the authors have obtained some results concerning asymptotic behaviour of nonoscillatory solutions of such equations.
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34C11
zbMATH DE Number: 3865735
zbMATH Keywords: Z-type solutions
zbMATH Keywords: nonoscillation
zbMATH Keywords: bounded solutions
zbMATH Keywords: linear nonhomogeneous equations
MaRDI profile type: Publication
cites work: On the solutions of certain linear nonhomogeneous second-order differential equations
cites work: Oscillation results for a nonhomogeneous equation
cites work: Q5584775
cites work: Oscillation of Second Order Nonhomogeneous Linear Differential Equations
cites work: On the Non-Existence of Conjugate Points
full work available at URL: 0022-247x(84)90202-6
OpenAlex ID: W2040629363
description: scientific article; zbMATH DE number 3865735