A class of two-point boundary value problems for systems of ordinary differential equations
type: Item
instance of: scholarly article
title: A class of two-point boundary value problems for systems of ordinary differential equations
zbMATH Open document ID: 0584.34008
DOI: 10.1016/0022-247X(85)90173-8
author: Marian Gewert
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: The paper deals with the two-point boundary value problems: \(x'=f(t,x)\), \(x^ 1(t_ 1)=a^ i\), \(i\in N\), \(x^ j(t_ 2)=b^ j\), \(j\in M\), where \(f:[t_ 1,t_ 2]\times {\mathbb{R}}^ n\to {\mathbb{R}}^ n\) and M and N are arbitrary subsets of \(\{\) 1,...,n\(\}\) such that card \(M+card N=n\). In particular, existence and uniqueness results are given, extending previous work.
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 3935501
zbMATH Keywords: first order differential equation
zbMATH Keywords: two-point boundary value problems
reviewed by: Gabriella Caristi
MaRDI profile type: Publication
cites work: Q4084016
cites work: Q5508985
cites work: A Multiple-Point Boundary Condition for Linear Differential Systems
cites work: Solutions of Linear Differential Systems Satisfying Multiple-Point Boundary Conditions
cites work: Solutions of Linear Differential Systems Satisfying Boundary Conditions in the Large
cites work: Q3903287
cites work: Uniqueness of linear boundary value problems for differential systems
cites work: On two-point boundary value problems for systems of ordinary non-linear, first-order differential equations
cites work: Totally positive differential systems
cites work: Q5590227
description: scientific article; zbMATH DE number 3935501