Oscillation for Certain Nonlinear Neutral Partial Differential Equations

We present some new oscillation criteria for second-order neutral partial functional differential equations of the form (∂/∂t){p(t)(∂/∂t)[u(x,t)+∑i=1lλi(t)u(x,t-τi)]}=a(t)Δu(x,t)+∑k=1sak(t)Δu(x,t-ρk(t))-q(x,t)f(u(x,t))-∑j=1mqj(x,t)fj(u(x,t-σj)), (x,t)∈Ω×R+≡G, where Ω is a bounded domain in the Eucli...

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Bibliographic Details
Main Authors: Quanwen Lin, Rongkun Zhuang
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2010/619142