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

Ruofeng Rao | Zendy; PU Zhi-lin | Zendy; Shouming Zhong | Zendy; Jialin Huang | Zendy

Open Access

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

Author(s) -

Ruofeng Rao,

PU Zhi-lin,

Shouming Zhong,

Jialin Huang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/940845

Subject(s) - stability (learning theory) , sobolev space , laplace transform , dirichlet distribution , mathematics , boundary value problem , computer science , mathematical analysis , machine learning

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

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