A variety of differentiability results for a multi-point boundary value problem
type: Item
instance of: scholarly article
title: A variety of differentiability results for a multi-point boundary value problem
zbMATH Open document ID: 1036.34015
DOI: 10.1016/S0377-0427(01)00449-6
author: Bonita A. Lawrence
published in: Journal of Computational and Applied Mathematics
publication date: 2002-06-24T00:00:00Z
review text: The author establishes differentiability results for the dynamic system \[ x^\Delta=f(t,x),\qquad \sum_{m=1}^k M_m x(t_m)=r, \] where a solution to the system is defined on a time scale \(\mathbb{T}\), \(x^{\Delta}\) is the delta derivative of \(x\), \(r\in \mathbb{R}^n\), and, for each \(1\le m\le k\), \(t_m\in \mathbb{T}\) and \(M_m\) is a constant \(n\times n\)-matrix. The results obtained unify the corresponding work in the real and the discrete case.
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34N05
zbMATH DE Number: 1758482
zbMATH Keywords: multipoint boundary value problem
zbMATH Keywords: time scale
zbMATH Keywords: measure chain
reviewed by: Patricia J. Y. Wong
MaRDI profile type: Publication
cites work: Q3198160
cites work: Q4526487
cites work: Smooth dependence on boundary matrices
cites work: Analysis on measure chains - a unified approach to continuous and discrete calculus
cites work: Q4716262
cites work: On the continuous dependence of solutions of boundary value problems for ordinary differential equations
description: scientific article; zbMATH DE number 1758482