The method of mixed monotony and second order boundary value problems
type: Item
instance of: scholarly article
title: The method of mixed monotony and second order boundary value problems
zbMATH Open document ID: 0604.34013
DOI: 10.1016/0022-247X(86)90194-0
author: Mohammad Khavanin
author: V. Lakshmikantham
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: We develop a technique which we call the method of mixed monotony that investigates the question whether it is possible to construct monotone sequences that converge to a solution of initial and periodic boundary value problems for first order differential systems even when the right- hand side function f does not possess any monotone properties. Of course, it is well known that if f satisfies certain mixed quasimonotone properties such construction is possible.
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 3975386
zbMATH Keywords: second order boundary
zbMATH Keywords: method of mixed monotony
zbMATH Keywords: periodic boundary value problems
zbMATH Keywords: first order differential systems
MaRDI profile type: Publication
cites work: An introduction to nonlinear boundary value problems
cites work: The method of mixed monotony and first order differential systems
cites work: Existence of periodic solutions of nonlinear boundary value problems and the method of upper and lower solutions
cites work: Q3807603
description: scientific article; zbMATH DE number 3975386