On existence of nonoscillatory solutions in forced nonlinear differential equations
type: Item
instance of: scholarly article
title: On existence of nonoscillatory solutions in forced nonlinear differential equations
zbMATH Open document ID: 0587.34051
DOI: 10.1007/BF02189823
author: Bhagat Singh
published in: Aequationes Mathematicae
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/137089
review text: The author gives sufficient conditions for the existence of a nonoscillatory solution to the equation \[ \frac{1}{p_ n(t)}\frac{d}{dt}\frac{1}{p_{n- 1}(t)}\frac{d}{dt}...\frac{d}{dt}(\frac{1}{p_ 0(t)}y(t))+F(t,y(t))=f(t) \] (p\({}_ i,f\) continuous on [a,\(\infty)\), \(a>0\), \(p_ i(t)>0\), \(F: R\times R\to R\) continuous, vF(u,v)\(\geq 0\) and F(u,.) increasing) and shows that his conditions are in a certain sense minimal.
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 3942008
zbMATH Keywords: disconjugate differential operator
zbMATH Keywords: canonical principal system
zbMATH Keywords: nonoscillatory solution
reviewed by: Milan Tvrdý
MaRDI profile type: Publication
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OpenAlex ID: W2032447882
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description: scientific article; zbMATH DE number 3942008