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

Ruofeng Rao, Zhilin Pu, Shouming Zhong, Jialin Huang
2013 Journal of Applied Mathematics  
By the way of Lyapunov-Krasovskii functional approach and some variational methods in the Sobolev spaceW01,p(Ω), a global asymptotical stability criterion forp-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 nonlinearp-Laplace diffusion item plays its role in the new criterion though the
more » ... terion though the nonlinearp-Laplace presents great difficulties. Moreover, numerical examples illustrate that our new stability criterion can judge what the previous criteria cannot do.
doi:10.1155/2013/940845 fatcat:q6u5pe73zzbtlnhosbvhmutxli