Monotone method for boundary value problems describing periodic transport processes
type: Item
instance of: scholarly article
title: Monotone method for boundary value problems describing periodic transport processes
zbMATH Open document ID: 0616.34013
DOI: 10.1016/0022-247X(85)90150-7
author: G. R. Shendge
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: Verf. studiert das Problem \[ u'=f(t,u,v),-v'=g(t,u,v),\quad t\in [0,2\pi],\quad u(0)=u(2\pi),\quad v(2\pi)=v(0), \] wo f,g stetige Funktionen [0,2\(\pi\) ]\(\times R\times R \to R\) sind. Zuerst wird ein passender Vergleichskriterium formuliert und bewiesen. Mit der Methode der monotonen Iterationen wird dann ein Satz über Maximal- und Minimalintegrale sowie ein Existenz- und Eindeutigkeitssatz für die oben erwähnte Aufgabe bewiesen.
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 3998245
zbMATH Keywords: maximal integral
zbMATH Keywords: minimal integral
zbMATH Keywords: comparison theorem
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3998245