Existence of periodic solutions for higher order dynamic equations on time scales
type: Item
instance of: scholarly article
title: Existence of periodic solutions for higher order dynamic equations on time scales
zbMATH Open document ID: 1270.34205
author: Sheng-Ping Wang
published in: Taiwanese Journal of Mathematics
publication date: 2013-02-21T00:00:00Z
full work available at URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/2640
review text: The author studies a sufficient condition for the existence of a periodic solution for the nonlinear \(n\)-th order dynamic equations \[ x^{\Delta^n}=f(x^{\Delta^{n-1}},\dotsc,x^{\Delta},x,t),\;n\geq2 \] on a time scale \(\mathbb{T}\) with period \(\sigma(T)\). He derives necessary a priori bounds based on a Wirtinger-type inequality and proves the main result by using coincidence degree theory.
reviewed by: Zhenlai Han
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6138001
zbMATH Keywords: periodic solution
zbMATH Keywords: higher order dynamic equations
zbMATH Keywords: time scales
zbMATH Keywords: coincidence degree
zbMATH Keywords: priori estimates
zbMATH Keywords: Wirtinger type inequality
MaRDI profile type: Publication
OpenAlex ID: W4250889588
DOI: 10.11650/TWJM/1500406850
description: scientific article; zbMATH DE number 6138001