Monotone method for first- and second-order periodic boundary value problems and periodic solutions of functional differential equations
type: Item
instance of: scholarly article
title: Monotone method for first- and second-order periodic boundary value problems and periodic solutions of functional differential equations
zbMATH Open document ID: 1014.34049
DOI: 10.1016/S0362-546X(01)00782-9
author: Daqing Jiang
author: Junjie Wei
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2002-08-25T00:00:00Z
review text: The paper is devoted to develop a monotone iterative technique for some first- and second-order periodic boundary value problems for functional-differential equations (FDEs), assuming the existence of a couple of lower and upper solutions. For it, the authors prove some comparison results (maximum principles), following the ideas in [\textit{E. Liz} and \textit{J. J. Nieto}, J. Math. Anal. Appl. 200, No. 3, 680-686 (1996; Zbl 0855.34080)]. It is worth mentioning that in the case of first-order FDEs, the maximum principle (theorem 2.1) can be deduced from a more general result in [\textit{J. J. Nieto}, Appl. Math. Lett. 15, No. 2, 173-179 (2002; Zbl 1014.34060)].
reviewed by: Eduardo Liz
Mathematics Subject Classification ID: 34K10
zbMATH DE Number: 1788045
zbMATH Keywords: functional-differential equations
zbMATH Keywords: boundary value problem
zbMATH Keywords: upper and lower solutions
zbMATH Keywords: monotone iterative technique
MaRDI profile type: Publication
cites work: Q3807603
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full work available at URL: s0362-546x(01)00782-9
OpenAlex ID: W1994522120
description: scientific article; zbMATH DE number 1788045