... the research fund of Department of Education of Sichuan Province 10ZC127 and the research fund of Sichuan College of EducationCJYKT09-024.References1 C. V. Pao, Nonlinear Parabolic and ... inequality with the use of Gronwallinequality. Then, v ≤ u inDT, and the proof of part i of the lemma is completed. The similarargument gives the proof of part ii of the lemma.Advances ... α2 and α3depend only on d and the parameters M, a0, θ0, α0, μ1, μ2, νM, μM, and 0,independent of m.Proof. By Hypothesis H, 3.20 ,and 3.27, the proof similar to that of...