Periodic boundary value problems for a class of functional differential equations
type: Item
instance of: scholarly article
title: Periodic boundary value problems for a class of functional differential equations
zbMATH Open document ID: 0855.34080
author: Eduardo Liz
author: Juan J. Nieto
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-09-25T00:00:00Z
review text: The authors employ the method of upper and lower solutions and monotone iterative technique to establish, under some assumptions, existence of a solution of the periodic boundary value problem for functional differential equations of the form \(u'(t) = f(t,u(t), u(h(t)))\), \(t \in [0,T]\), \(u(0) = u(T)\), where \(f \in C ([0,T] \times \mathbb{R}^2, \mathbb{R})\), \(h \in C([0,T], [- r,T])\), \(r > 0\), \(t - r \leq h(t) \leq t\) for \(t \in [0,T]\). An example is given to illustrate the results.
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 908598
zbMATH Keywords: method of upper and lower solutions
zbMATH Keywords: monotone iterative technique
zbMATH Keywords: periodic boundary value problem
zbMATH Keywords: functional differential equations
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0231
OpenAlex ID: W1972818436
Wikidata QID: Q60199482
DOI: 10.1006/JMAA.1996.0231
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description: scientific article; zbMATH DE number 908598