Existence-uniqueness and iterative methods for third-order boundary value problems
type: Item
instance of: scholarly article
title: Existence-uniqueness and iterative methods for third-order boundary value problems
zbMATH Open document ID: 0617.34008
DOI: 10.1016/0377-0427(87)90105-1
author: Ravi P. Agarwal
published in: Journal of Computational and Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: Various types of existence conditions are given for the solution of the 3-point boundary value problem \[ x\prime''=f(t,x,x',x'');\quad x'(a)=A,\quad x(b)=B,\quad x'(c)=C, \] utilizing the Schauder fixed point principle. The case when f(t,x,y,z) is linear in x,y,z is separately considered. An iterative scheme for approximating the solution is justified. Finally, illustrative examples are considered.
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 4000404
zbMATH Keywords: Schauder fixed point principle
zbMATH Keywords: iterative scheme
zbMATH Keywords: examples
reviewed by: Mihail M. Konstantinov
MaRDI profile type: Publication
full work available at URL: 0377-0427(87)90105-1
OpenAlex ID: W1988118612
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description: scientific article; zbMATH DE number 4000404