Lyapunov-type inequality for a higher order dynamic equation on time scales

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...

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Detalles Bibliográficos
Autores principales: Sun, Taixiang, Xi, Hongjian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5009062/
https://www.ncbi.nlm.nih.gov/pubmed/27652044
http://dx.doi.org/10.1186/s40064-016-3139-8
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author Sun, Taixiang
Xi, Hongjian
author_facet Sun, Taixiang
Xi, Hongjian
author_sort Sun, Taixiang
collection PubMed
description 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] .
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spelling pubmed-50090622016-09-20 Lyapunov-type inequality for a higher order dynamic equation on time scales Sun, Taixiang Xi, Hongjian Springerplus Research 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] . Springer International Publishing 2016-09-01 /pmc/articles/PMC5009062/ /pubmed/27652044 http://dx.doi.org/10.1186/s40064-016-3139-8 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Sun, Taixiang
Xi, Hongjian
Lyapunov-type inequality for a higher order dynamic equation on time scales
title Lyapunov-type inequality for a higher order dynamic equation on time scales
title_full Lyapunov-type inequality for a higher order dynamic equation on time scales
title_fullStr Lyapunov-type inequality for a higher order dynamic equation on time scales
title_full_unstemmed Lyapunov-type inequality for a higher order dynamic equation on time scales
title_short Lyapunov-type inequality for a higher order dynamic equation on time scales
title_sort lyapunov-type inequality for a higher order dynamic equation on time scales
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5009062/
https://www.ncbi.nlm.nih.gov/pubmed/27652044
http://dx.doi.org/10.1186/s40064-016-3139-8
work_keys_str_mv AT suntaixiang lyapunovtypeinequalityforahigherorderdynamicequationontimescales
AT xihongjian lyapunovtypeinequalityforahigherorderdynamicequationontimescales

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