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MULTIVARIATE NONLINEAR INTEGRAL INEQUALITIES AND ITS APPLICATION
作者姓名:谢鸿政
作者单位:Dept.of Math.
摘    要:0 IntroductionIn this paper, we establish new generalization of the Bihari-Wendroff type multivariate integral in-equalities and show their application to some partial differential equation.We consider the following integral inequalities;where, (x)=(x_1,…,x_n)∈R_n~+= 0,-∞)k;(x_i,s_i)=(x_1,…,x_i-1,s_i.,x_(i+1),…,x_0).We suppose that u(x)≥0, c(x)≥c_0>0, α;(x)≥0 (i=1,…,n), and they belong to C(R_n~+);c(x) and α_1(x) (i=1, …,n) are nondecreasing in (R_n~+); g_i(t)=g_i(c_0)>0 (i=1,…,n), and they are

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