Uniqueness of positive solutions of nonlinear second order systems
type: Item
instance of: scholarly article
title: Uniqueness of positive solutions of nonlinear second order systems
zbMATH Open document ID: 0836.34022
DOI: 10.4171/RMI/172
author: Robert Dalmasso
published in: Revista Matemática Iberoamericana
publication date: 1995-11-08T00:00:00Z
full work available at URL: https://eudml.org/doc/39478
review text: The author considers the uniqueness of positive solutions of the nonlinear second order system \(- u'' = g(v)\), \(- v'' = f(u)\) in \((- R,R)\) with \(u(\pm R) = v (\pm R) = 0\), where \(f,g \in C^1 (R)\) and satisfy conditions \(0 < g(v) \leq vg'(v)\); \(0 < f(u) \leq uf'(u)\). A method uses the one-dimensional maximum principle.
reviewed by: V. N. Gusyatnikova
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 813822
zbMATH Keywords: boundary value problem
zbMATH Keywords: uniqueness of positive solutions
zbMATH Keywords: nonlinear second order system
zbMATH Keywords: maximum principle
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 813822