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则称二阶完全非线性组(1)是一致抛物的.我们在矩形域Q_T={0≤x≤l,0≤t≤T}(l>0,T>0)上研究方程组(1)满足边界条件 相似文献
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The general difference schemes for the first boundary problem of the fully nonlinear pseudo-hyperbolic systemsf(x, t, u,u_x,u_(xx),u_t,u_(tt),u_(xt),u_(xxt))=0are considered in the rectangular domain Q_T={0≤x≤1, 0≤t≤T}, where u(x,t)and f(x, t, u,p_1, p_2, r_1,r_2,q_1,q_2) are two m-dimensional vector functions with m≥1 for(x, t)∈Q_T and u,p_1,p_2,r_1,r_2,q_1,q_2∈R. The existence and the estimates of solutionsfor the finite difference system are established by the fixed point technique. The absolute andrelative stability and convergence of difference schemes are justified by means of a series of a prioriestimates. In the present study, the existence of unique smooth solution of the original problemis assumed. The similar results for nonlinear and quasilinear pseudo-hyperbolic systems are alsoobtained. 相似文献
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In the present paper the authors considered the mixed problem with nonlinear boundary conditions and the initial condition for the spin system and the system of ferro-magnetic chain in the rectangular domain Q_t. 相似文献
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<正> 在1954年与研究了非线性拋物型方程在长方形区域R{0≤x≤X,0≤t≤T}上的第一边界問題和在区域S{-∞相似文献
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采用径向基神经网络(RBFNN)结合近红外光谱(NIRS)技术建立一种分析安络小皮伞发酵菌丝体中甘露醇、多糖和腺苷三种组分的定量分析模型。收集164个安络小皮伞液体发酵菌丝体样本的近红外光谱数据,采用常规方法分别测定样本中甘露醇、多糖和腺苷的含量。在应用蒙特卡罗偏最小二乘法(MCPLS)识别异常样本、确定校正集样本数量的基础上,以逼近度(Da)为评价指标,采用可移动窗口径向基神经网络(MWRBFNN)筛选特征波长变量,筛选最佳光谱预处理方法、隐含层节点数(NH)等模型参数。建立甘露醇、多糖和腺苷组分定量分析模型,最佳RBFNN-NIRS模型中校正集和预测集样本实验测定值与预测值间相关系数分别为0.9274、0.9009、0.9440和0.9354、0.9018、0.8847,表明模型具有很好的拟合度和预测性能。 相似文献
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