Fourth-order problems with fully nonlinear boundary conditions
type: Item
instance of: scholarly article
title: Fourth-order problems with fully nonlinear boundary conditions
zbMATH Open document ID: 1115.34022
author: Guangwa Wang
author: Mingru Zhou
author: Li Sun
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-12-07T00:00:00Z
review text: The authors give a slight generalisation of the results presented in a previous paper published in [Nonlinear Anal., Theory Methods Appl. 64, No. 4, 696--705 (2006; Zbl 1101.34011)]. The method of upper and lower solutions is used in the standard way in order to obtain existence results for the nonlinear boundary value problem \[ y^{(4)} =f(t,y,y',y'',y'''),\qquad t\in (0,1) \] under nonlinear boundary conditions. The techniques, results and examples follow the general outline of those in the paper mentioned above.
reviewed by: Pablo Amster
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 5078914
zbMATH Keywords: fourth order ODE
zbMATH Keywords: upper and lower solutions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.01.059
OpenAlex ID: W2047566660
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DOI: 10.1016/J.JMAA.2006.01.059
description: scientific article; zbMATH DE number 5078914