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This paper gives the probabilistic interpretation for one system of the second order quasilinear parabolic partial differential equations combined with an algebra equation using fully coupled forward-backward stochastic differential equation.

本文利用完全耦合的正倒向随机微分方程,对一类耦合了一个代数方程的二阶拟线性抛物型偏微分方程系统,给出概率表示。

We prove the solvability of the first eigenvalue problem for a class of quasilinear elliptic equations including distance potential with homogeneous Dirichlet boundary condition.

变分原理证明了一类含距离位势的拟线性椭圆方程齐次Dirichlet边界条件下第一特征值问题的可解性。

The existence of weak solution for quasilinear elliptic system in the whole space is studied.

讨论了在全空间上拟线性椭圆型方程组的非平凡解的存在性。

In part III by using capacity theory and extension theorem of Lip-schitz functions we first discuss the uniqueness of weak solution ofnonhomogeneous quasilinear elliptic equations〓in space〓,which is bigger then〓.

第三部分首先用容量理论、Lipschitz函数延拓定理讨论了一类非齐次拟线性椭圆型方程〓在比〓更大的空间〓中弱解的唯一性。

The existence and uniqueness of the solution to the equation are verified based on the homeomorphism theory, and an example is given to show the rationality of the solution.

数值求解拟线性抛物型偏微分方程边值问题通常可归结为解非线性方程组,非线性方程组解的存在与惟一性是解方程组的前提。

The characteristic method is applied and the weak discontinuous solutions of homogeneous quasilinear wave equation s are discussed.

主要分析一维拟线性波方程的解的间断性。

Given the assumption of analysis-of-variance model, the text selection can be transformed to a linear parameter estimation problem, which can then be solved by a greedy matroid cover algorithm.

在方差分析模型的假设下,最优文本选择就转化为线性参数估计问题,相当于寻找拟阵的最小代价覆盖集,从而可通过贪心算法求解。

Firstly,we study the controllability of two classes of important quasilinear parabolic equations.

首先,我们讨论了两类重要的拟线性抛物方程的能控性。

HCS++ CH3 agrees with a linearly extrapolated threshold at 10.99 ?b 0.04 eV and a predicted dissociation mechanism that c-C2H4S+ isomerizes to CH3CHS+ before dissociating to HCS++ CH3 supports the experimental results.

另一方面,形成HCS++ CH3解离通道线性拟合的门槛値10.99 ± 0.04 eV与G3计算値11.05 eV一致,释放的平均动能与统计计算値相当吻合,以理论计算推测解离途径也显示此解离通道没有逆反应能障。

Based upon the theoretical analysis, a Quasilinear method of elastic-plastic finite element analysis is established.

本文在理论分析的基础上,建立了弹塑性有限元分析的拟线性法。

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