A generalized quasilinearization method for second-order nonlinear differential equations with nonlinear boundary conditions
type: Item
instance of: scholarly article
title: A generalized quasilinearization method for second-order nonlinear differential equations with nonlinear boundary conditions
zbMATH Open document ID: 1095.65066
author: Donal O'Regan
author: Mohamed El-Gebeily
published in: Journal of Computational and Applied Mathematics
publication date: 2006-05-29T00:00:00Z
review text: This paper deals with a nonlinear boundary value problem. An existence theorem for such problem using the method of coupled upper and lower solutions is developed. Also, a generalized quasilinearization method that iteratively produces two sequences of functions is presented.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 5028702
zbMATH Keywords: nonlinear ordinary differential equations
zbMATH Keywords: nonlinear boundary conditions
zbMATH Keywords: upper and lower solutions
zbMATH Keywords: quasilinearization method
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
full work available at URL: j.cam.2005.05.006
OpenAlex ID: W2046232688
cites work: Generalized quasilinearization method for mixed boundary value problems.
cites work: Q4146094
cites work: Q4397695
cites work: Q4860449
DOI: 10.1016/J.CAM.2005.05.006
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description: scientific article