Über die Existenz von unendlich vielen periodischen Lösungen einer einfachen Temperaturregelung. (On the existence of infinitely many periodic solutions in a simple temperature-control-system)
type: Item
instance of: scholarly article
title: Über die Existenz von unendlich vielen periodischen Lösungen einer einfachen Temperaturregelung. (On the existence of infinitely many periodic solutions in a simple temperature-control-system)
zbMATH Open document ID: 0653.35046
DOI: 10.1007/BF01390057
author: Qinghua Zheng
published in: Numerische Mathematik
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133358
review text: A parabolic differential equation with coupled boundary conditions models a temperature-control-system in the one-dimensional space. In order to use a known existence theorem the equation is regularized by a perturbation. The set of solution functions of the perturbed equations is compact. Accumulation points of this set are solutions of the equation because of the strictly maximum principle. This proposition is confirmed with a numerical example.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 4065524
zbMATH Keywords: coupled boundary conditions
zbMATH Keywords: temperature-control system
zbMATH Keywords: regularized by a perturbation
zbMATH Keywords: maximum principle
MaRDI profile type: Publication
cites work: A further generalization of the Schauder fixed point theorem
cites work: Q4744756
cites work: Q4745226
cites work: Gestaltaussagen über Lösungen parabolischer Differentialgleichungen.
cites work: Q5533735
cites work: Q3254534
cites work: Q4084640
cites work: Q5622760
OpenAlex ID: W111427608
description: scientific article; zbMATH DE number 4065524