Positive solutions for a system of nonlinear singular Hammerstein integral equations via nonnegative matrices and applications
type: Item
instance of: scholarly article
title: Positive solutions for a system of nonlinear singular Hammerstein integral equations via nonnegative matrices and applications
zbMATH Open document ID: 1266.45009
author: Zhilin Yang
author: Zhitao Zhang
published in: Positivity
publication date: 2013-01-02T00:00:00Z
review text: Using the fixed point index on a cone, the existence of a (strictly) positive solution of a system of Hammerstein integral equations with nonnegative kernels and nonnegative nonlinearities is obtained. The main hypothesis is that the nonlinearity has near zero (resp.\ globally) a growth which (with respect to the order) is comparable with the growth of a certain positive matrix. The result is applied to obtain a positive radial solution of a nonlinear elliptic equation on an annulus.
Mathematics Subject Classification ID: 45G15
Mathematics Subject Classification ID: 45M20
Mathematics Subject Classification ID: 47H07
Mathematics Subject Classification ID: 35J66
Mathematics Subject Classification ID: 47H30
Mathematics Subject Classification ID: 45G05
zbMATH DE Number: 6121308
zbMATH Keywords: system of nonlinear singular Hammerstein integral equations
zbMATH Keywords: positive solution
zbMATH Keywords: fixed point index
zbMATH Keywords: cone
zbMATH Keywords: positive radial solution
zbMATH Keywords: nonlinear elliptic equation
MaRDI profile type: Publication
full work available at URL: s11117-011-0146-4
OpenAlex ID: W1976085986
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DOI: 10.1007/S11117-011-0146-4
description: scientific article; zbMATH DE number 6121308