Nonlinear boundary value problems for ordinary differential equations
type: Item
instance of: scholarly article
title: Nonlinear boundary value problems for ordinary differential equations
zbMATH Open document ID: 0804.34022
published in: Journal of Mathematical Analysis and Applications
publication date: 1994-08-17T00:00:00Z
review text: A nonlinear vector boundary value problem of the form (1) \(y'= f(x,y)\), (2) \(B(y)= r\) is considered. Results are presented in which it is shown that solutions \(u(x)\) of (1), (2) can be differentiated with respect to the components of \(r\). These partial derivatives are then shown to be solutions of certain linear boundary value problems. These results can be considered as analogues of well-known results for differentiability of solutions of (1) with respect to initial conditions.
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 617447
zbMATH Keywords: nonlinear vector boundary value problem
zbMATH Keywords: differentiability
author: Jeffrey Ehme
reviewed by: Prem N. Bajaj
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1189
OpenAlex ID: W1995584594
DOI: 10.1006/JMAA.1994.1189
description: scientific article; zbMATH DE number 617447