Existence and uniqueness of solutions for third-order nonlinear boundary value problems
type: Item
instance of: scholarly article
title: Existence and uniqueness of solutions for third-order nonlinear boundary value problems
zbMATH Open document ID: 1160.34312
author: Minghe Pei
author: Sung Kag Chang
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-01-09T00:00:00Z
review text: Consider the boundary value problem \[ y'''f(x,y,y',y''),\;0<x<1, \] \[ k(y(0),y'(0))=0,\;g(y'(0),y''(0))=0,\tag{*} \] \[ h(y(0),y'(0),y''(0);\;y(1),y'(1),y''(1))=0, \] where \(k,g\) and \(h\) are continuous. The authors provide sufficient conditions for the existence and uniqueness of a solution to (*).
reviewed by: Klaus R. Schneider
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 5083255
zbMATH Keywords: boundary value problem
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.03.057
OpenAlex ID: W2037290656
cites work: Q3329762
cites work: Q3732891
cites work: Existence-uniqueness and iterative methods for third-order boundary value problems
cites work: Existence and uniqueness for two-point boundary value problems
cites work: On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions.
cites work: Existence of solutions for a class of third-order nonlinear boundary value problems
cites work: Existence result for some third order separated boundary value problems.
cites work: Existence result for a third-order ODE with nonlinear boundary conditions in presence of a sign-type Nagumo control
cites work: Solvability of some third-order boundary value problems with asymmetric unbounded nonlinear\-ities
cites work: Q5330830
cites work: Best Interval Lengths for Boundary Value Problems for Third Order Lipschitz Equations
cites work: Q3794101
cites work: Third-order boundary-value problem with nonlinear boundary conditions
cites work: Maximum principles and their applications
DOI: 10.1016/J.JMAA.2006.03.057
description: scientific article; zbMATH DE number 5083255