An improvement of the Lyapunov inequality for certain higher order differential equations

In this paper, we establish two Lyapunov inequalities for some half-linear higher order differential equations with anti-periodic boundary conditions. Our result improves that obtained by Wang (Appl. Math. Lett. 25:2375–2380, 2012).

Detalles Bibliográficos
Autor principal: Liu, Haidong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105191/
https://www.ncbi.nlm.nih.gov/pubmed/30839553
http://dx.doi.org/10.1186/s13660-018-1809-5
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author Liu, Haidong
author_facet Liu, Haidong
author_sort Liu, Haidong
collection PubMed
description In this paper, we establish two Lyapunov inequalities for some half-linear higher order differential equations with anti-periodic boundary conditions. Our result improves that obtained by Wang (Appl. Math. Lett. 25:2375–2380, 2012).
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spelling pubmed-61051912018-08-30 An improvement of the Lyapunov inequality for certain higher order differential equations Liu, Haidong J Inequal Appl Research In this paper, we establish two Lyapunov inequalities for some half-linear higher order differential equations with anti-periodic boundary conditions. Our result improves that obtained by Wang (Appl. Math. Lett. 25:2375–2380, 2012). Springer International Publishing 2018-08-17 2018 /pmc/articles/PMC6105191/ /pubmed/30839553 http://dx.doi.org/10.1186/s13660-018-1809-5 Text en © The Author(s) 2018 Open Access This 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
Liu, Haidong
An improvement of the Lyapunov inequality for certain higher order differential equations
title An improvement of the Lyapunov inequality for certain higher order differential equations
title_full An improvement of the Lyapunov inequality for certain higher order differential equations
title_fullStr An improvement of the Lyapunov inequality for certain higher order differential equations
title_full_unstemmed An improvement of the Lyapunov inequality for certain higher order differential equations
title_short An improvement of the Lyapunov inequality for certain higher order differential equations
title_sort improvement of the lyapunov inequality for certain higher order differential equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105191/
https://www.ncbi.nlm.nih.gov/pubmed/30839553
http://dx.doi.org/10.1186/s13660-018-1809-5
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