Rectangles of positive eigenvalues with positive eigenfunctions of nonlinear multiparameter coupled systems
type: Item
instance of: scholarly article
title: Rectangles of positive eigenvalues with positive eigenfunctions of nonlinear multiparameter coupled systems
zbMATH Open document ID: 1491.34035
author: S. R. Elsayed-Abdullah
author: Mahmoud H. Annaby
published in: Journal of Fixed Point Theory and Applications
publication date: 2021-11-25T00:00:00Z
review text: This paper is considering a multiparameter nonlinear system of boundary-value problems, which are related to the Abel-Whittaker expansion. The authors follow standard techniques, particularly Krasnoselskii's cone fixed point theorems to study the existence of rectangles of positive eigenvalues and associated positive eigenfunctions of the system. By a rectangle the authors mean a bounded rectangle of \(R^2\) or an infinite strip.
Mathematics Subject Classification ID: 34B09
Mathematics Subject Classification ID: 34B08
Mathematics Subject Classification ID: 34B27
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 34L10
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7433411
zbMATH Keywords: Lidstone and Whittaker series
zbMATH Keywords: higher order Lidstone and Whittaker problems
zbMATH Keywords: Green's function
zbMATH Keywords: multiparameter nonlinear system of boundary value problems
reviewed by: Tatiana E. Badokina
MaRDI profile type: Publication
full work available at URL: s11784-021-00906-9
OpenAlex ID: W3207285072
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DOI: 10.1007/S11784-021-00906-9
description: scientific article; zbMATH DE number 7433411