On Lyapunov-type inequalities for [Formula: see text] -Laplacian systems

We establish Lyapunov-type inequalities for a system involving one-dimensional [Formula: see text] -Laplacian operators ([Formula: see text] ). Next, the obtained inequalities are used to derive some geometric properties of the generalized spectrum associated to the considered problem.

Detalles Bibliográficos
Autores principales: Jleli, Mohamed, Samet, Bessem
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5418342/
https://www.ncbi.nlm.nih.gov/pubmed/28539750
http://dx.doi.org/10.1186/s13660-017-1377-0
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author Jleli, Mohamed
Samet, Bessem
author_facet Jleli, Mohamed
Samet, Bessem
author_sort Jleli, Mohamed
collection PubMed
description We establish Lyapunov-type inequalities for a system involving one-dimensional [Formula: see text] -Laplacian operators ([Formula: see text] ). Next, the obtained inequalities are used to derive some geometric properties of the generalized spectrum associated to the considered problem.
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spelling pubmed-54183422017-05-22 On Lyapunov-type inequalities for [Formula: see text] -Laplacian systems Jleli, Mohamed Samet, Bessem J Inequal Appl Research We establish Lyapunov-type inequalities for a system involving one-dimensional [Formula: see text] -Laplacian operators ([Formula: see text] ). Next, the obtained inequalities are used to derive some geometric properties of the generalized spectrum associated to the considered problem. Springer International Publishing 2017-05-04 2017 /pmc/articles/PMC5418342/ /pubmed/28539750 http://dx.doi.org/10.1186/s13660-017-1377-0 Text en © The Author(s) 2017 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
Jleli, Mohamed
Samet, Bessem
On Lyapunov-type inequalities for [Formula: see text] -Laplacian systems
title On Lyapunov-type inequalities for [Formula: see text] -Laplacian systems
title_full On Lyapunov-type inequalities for [Formula: see text] -Laplacian systems
title_fullStr On Lyapunov-type inequalities for [Formula: see text] -Laplacian systems
title_full_unstemmed On Lyapunov-type inequalities for [Formula: see text] -Laplacian systems
title_short On Lyapunov-type inequalities for [Formula: see text] -Laplacian systems
title_sort on lyapunov-type inequalities for [formula: see text] -laplacian systems
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5418342/
https://www.ncbi.nlm.nih.gov/pubmed/28539750
http://dx.doi.org/10.1186/s13660-017-1377-0
work_keys_str_mv AT jlelimohamed onlyapunovtypeinequalitiesforformulaseetextlaplaciansystems
AT sametbessem onlyapunovtypeinequalitiesforformulaseetextlaplaciansystems

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