On the Role of Diffusion Behaviors in Stability Criterion for p-Laplace Dynamical Equations with Infinite Delay and Partial Fuzzy Parameters under Dirichlet Boundary Value

By the way of Lyapunov-Krasovskii functional approach and some variational methods in the Sobolev space W01,p(Ω), a global asymptotical stability criterion for p-Laplace partial differential equations with partial fuzzy parameters is derived under Dirichlet boundary condition, which gives a positive...

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Bibliographic Details
Published inJournal of Applied Mathematics Vol. 2013; no. 2013; pp. 348 - 355-834
Main Authors Rao, Ruofeng, Pu, Zhilin, Zhong, Shouming, Huang, Jialin
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2013
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Boundary value problems
Criteria
Dynamical systems
Fuzzy algorithms
Fuzzy logic
Fuzzy systems
Laplace transformation
Mathematical research
Series, Dirichlet
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Summary:By the way of Lyapunov-Krasovskii functional approach and some variational methods in the Sobolev space W01,p(Ω), a global asymptotical stability criterion for p-Laplace partial differential equations with partial fuzzy parameters is derived under Dirichlet boundary condition, which gives a positive answer to an open problem proposed in some related literatures. Different from many previous related literatures, the nonlinear p-Laplace diffusion item plays its role in the new criterion though the nonlinear p-Laplace presents great difficulties. Moreover, numerical examples illustrate that our new stability criterion can judge what the previous criteria cannot do.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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content type line 23
ISSN:1110-757X
1687-0042
DOI:10.1155/2013/940845