Nontrivial periodic solutions to delay difference equations via Morse theory
type: Item
instance of: scholarly article
title: Nontrivial periodic solutions to delay difference equations via Morse theory
zbMATH Open document ID: 1412.39014
author: Yuhua Long
author: Xiaoqing Deng
author: Haiping Shi
published in: Open Mathematics
publication date: 2019-03-29T00:00:00Z
review text: The authors study the problem of existence of nontrivial periodic solutions of the asymptotically linear delay difference equation \[ \Delta x(t) = -f(x(t-T)), \] where $f(-x)=-f(x)$ is a continuous function from $\mathbb{R}^n$ to $\mathbb{R}^n$. The problem is mapped to a critical point problem in a Hilbert space, and the existence result is proved by using Morse theory.
reviewed by: Xueyan Liu
Mathematics Subject Classification ID: 39A23
Mathematics Subject Classification ID: 39A06
zbMATH DE Number: 7045454
zbMATH Keywords: nontrivial periodic solution
zbMATH Keywords: delay difference equation
zbMATH Keywords: Morse theory
MaRDI profile type: Publication
full work available at URL: math-2018-0077
OpenAlex ID: W2885091715
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Wikidata QID: Q129410012
DOI: 10.1515/MATH-2018-0077
description: scientific article; zbMATH DE number 7045454