Nielsen fixed point theory and nonlinear equations
type: Item
instance of: scholarly article
title: Nielsen fixed point theory and nonlinear equations
zbMATH Open document ID: 0839.47041
author: Michal Fečkan
published in: Journal of Differential Equations
publication date: 1996-06-24T00:00:00Z
review text: In the first part of the paper the author is concerned with the equation \(Lu= H(u)\), where \(L: X\to Y\) is a linear Fredholm operator and \(H: Y\to Y\) is continuous. The Nielsen-Wecken fixed poin theory and Mawhin's coincidence degree are used. Applications to positive/periodic solutions to differential equations and integro-partial differential equations are given.
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47G20
Mathematics Subject Classification ID: 45M20
Mathematics Subject Classification ID: 45M15
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 540094
zbMATH Keywords: multiple periodic solutions
zbMATH Keywords: positive solutions
zbMATH Keywords: linear Fredholm operator
zbMATH Keywords: Nielsen-Wecken fixed point theory
zbMATH Keywords: Mawhin's coincidence degree
zbMATH Keywords: differential equations
zbMATH Keywords: integro-partial differential equations
reviewed by: N. H. Pavel
MaRDI profile type: Publication
full work available at URL: jdeq.1993.1110
OpenAlex ID: W1999111482
DOI: 10.1006/JDEQ.1993.1110
description: scientific article; zbMATH DE number 540094