title: Lyapunov-type inequality for a higher order dynamic equation on time scales.
abstract: The purpose of this work is to establish a Lyapunov-type inequality for the following dynamic equation [Formula: see text]on some time scale T under the anti-periodic boundary conditions [Formula: see text], where [Formula: see text] for [Formula: see text] and [Formula: see text], [Formula: see text] with [Formula: see text] and [Formula: see text], p is the quotient of two odd positive integers and [Formula: see text] with [Formula: see text].
authors.affiliation: College of Information and Statistics, Guangxi University of Finance and Economics, Nanning, 530003 China ; Colleges and Universities Key Laboratory of Mathematics and Its Applications, Nanning, 530004 China.
authors.forename: Taixiang
authors.initials: T
authors.lastname: Sun
authors.affiliation: College of Information and Statistics, Guangxi University of Finance and Economics, Nanning, 530003 China ; Colleges and Universities Key Laboratory of Mathematics and Its Applications, Nanning, 530004 China.
authors.forename: Hongjian
authors.initials: H
authors.lastname: Xi
keywords: Dynamic equation; Lyapunov-type inequality; Time scale