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2013 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, Jialin Huang
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/940845

Abstract

By the way of Lyapunov-Krasovskii functional approach and some variational methods in the Sobolev space W01,p(), 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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Ruofeng Rao. Zhilin Pu. Shouming Zhong. Jialin Huang. "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." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/940845

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950945
MathSciNet: MR3138980
Digital Object Identifier: 10.1155/2013/940845

Rights: Copyright © 2013 Hindawi

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