Existence of solutions of nonlinear mixed two-point boundary value problems for third-order nonlinear differential equation
type: Item
instance of: scholarly article
title: Existence of solutions of nonlinear mixed two-point boundary value problems for third-order nonlinear differential equation
zbMATH Open document ID: 1255.34023
DOI: 10.1155/2012/262139
author: Yongxin Gao
author: Fengqin Wang
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: The authors use the upper and lower solutions method to study the existence of solutions of nonlinear mixed two-point boundary value problems for third-order nonlinear differential equations. They consider the third-order nonlinear ordinary differential equation \[ y''' = f(x, y, y', y'') \] together with the nonlinear mixed two-point boundary conditions \[ y'(b) = h(y'(a)), \] \[ p(y(a), y(b), y'(a), y'(b)) = 0, \] \[ g(y(a), y(b), y'(a), y'(b), y''(a), y''(b)) = 0. \] Some new existence results are obtained by developing the upper and lower solutions method. Applications are also presented.
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6106157
zbMATH Keywords: upper and lower solution method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/262139
OpenAlex ID: W2138872337
Wikidata QID: Q58906503
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description: scientific article; zbMATH DE number 6106157