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

Ruofeng Rao, Zhilin Pu, Shouming Zhong and Jialin Huang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
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https://doi.org/10.1155/2013/940845

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:940845

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