Existence and uniqueness theorems for third order boundary value problems
type: Item
instance of: scholarly article
title: Existence and uniqueness theorems for third order boundary value problems
zbMATH Open document ID: 0611.34005
author: A. R. Aftabizadeh
author: Joseph Wiener
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1986-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108015
review text: This paper deals with the existence and uniqueness conditions for third order differential equation of the type, \(y\prime''=f(x,y,y',y'')\) where \(f\in C[[0,1]\times R\times R\times R,R]\) under the following type of boundary conditions: \(y(0)=y_ 0\), \(y'(0)=\bar y_ 0\), \(y'(1)=y_ 1\). The equation (*) is transformed into a second order integro-differential equation, and then the known results for second order boundary value problems and Schauder's fixed point theorem are applied.
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34B99
zbMATH DE Number: 3987701
zbMATH Keywords: third order differential equation
zbMATH Keywords: second order integro-differential equation
zbMATH Keywords: Schauder's fixed point theorem
reviewed by: S. L. Kalla
MaRDI profile type: Publication
cites work: Existence and uniqueness theorems for fourth-order boundary value problems
cites work: Boundary value problems for differential equations with reflection of the argument
cites work: Q3266565
cites work: Q4758141
description: scientific article; zbMATH DE number 3987701