Lyapunov-Type Inequalities for Some Quasilinear Dynamic System Involving the (p1,p2,…,pm)-Laplacian on Time Scales

We establish several new Lyapunov-type inequalities for some quasilinear dynamic system involving the (p1,p2,…,pm)-Laplacian on an arbitrary time scale 𝕋, which generalize and improve some related existing results including the continuous and discrete cases.

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Main Authors: Xiaofei He, Qi-Ming Zhang
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/418136
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author Xiaofei He
Qi-Ming Zhang
author_facet Xiaofei He
Qi-Ming Zhang
author_sort Xiaofei He
collection DOAJ
description We establish several new Lyapunov-type inequalities for some quasilinear dynamic system involving the (p1,p2,…,pm)-Laplacian on an arbitrary time scale 𝕋, which generalize and improve some related existing results including the continuous and discrete cases.
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issn 1110-757X
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language English
publishDate 2011-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-8f2163e767984b449494acb4e891864b2025-08-20T02:09:22ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/418136418136Lyapunov-Type Inequalities for Some Quasilinear Dynamic System Involving the (p1,p2,…,pm)-Laplacian on Time ScalesXiaofei He0Qi-Ming Zhang1College of Mathematics and Computer Science, Jishou University, Jishou 416000, Hunan, ChinaCollege of Science, Hunan University of Technology, Zhuzhou 412007, Hunan, ChinaWe establish several new Lyapunov-type inequalities for some quasilinear dynamic system involving the (p1,p2,…,pm)-Laplacian on an arbitrary time scale 𝕋, which generalize and improve some related existing results including the continuous and discrete cases.http://dx.doi.org/10.1155/2011/418136
spellingShingle Xiaofei He
Qi-Ming Zhang
Lyapunov-Type Inequalities for Some Quasilinear Dynamic System Involving the (p1,p2,…,pm)-Laplacian on Time Scales
Journal of Applied Mathematics
title Lyapunov-Type Inequalities for Some Quasilinear Dynamic System Involving the (p1,p2,…,pm)-Laplacian on Time Scales
title_full Lyapunov-Type Inequalities for Some Quasilinear Dynamic System Involving the (p1,p2,…,pm)-Laplacian on Time Scales
title_fullStr Lyapunov-Type Inequalities for Some Quasilinear Dynamic System Involving the (p1,p2,…,pm)-Laplacian on Time Scales
title_full_unstemmed Lyapunov-Type Inequalities for Some Quasilinear Dynamic System Involving the (p1,p2,…,pm)-Laplacian on Time Scales
title_short Lyapunov-Type Inequalities for Some Quasilinear Dynamic System Involving the (p1,p2,…,pm)-Laplacian on Time Scales
title_sort lyapunov type inequalities for some quasilinear dynamic system involving the p1 p2 pm laplacian on time scales
url http://dx.doi.org/10.1155/2011/418136
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AT qimingzhang lyapunovtypeinequalitiesforsomequasilineardynamicsysteminvolvingthep1p2pmlaplacianontimescales