拟线性的

The aim of this paper is to study the existence of solution and multiply results for quasilinear elliptic system in bounded domain and the whole space, semilinear elliptic equation in two dimension space, second order nonlinear difference equation by variational methods. The main results are listed in the following:1. An abstract compactness theorem is proved, and then, under weak Boccardo and De.

本文主要利用变分法，分别研究了有界区域和全空间上拟线性椭圆型方程组、二维空间上半线性椭圆型方程和二阶非线性差分方程问题的解与多重解的存在性，具体内容如下： 1。

By using the group-chain, the wavefunctions of the 4f〓 configuration for RE ions are also expressed as linear combinations of group-chain basis functions in Butler's irreducible representation notation. The matrix elements of the CF Hamiltonian then are calculated by means of the Wigner-Eckart theorem and factorization lemma of the jm factors. Before the CF level fitting, a point-charge calculation of the conventional CF parameters B〓 has been performed by means of the lattice-sum technique from the known crystal structure data. The corresponding parameters in the group-chain are calculated by the conversion relationship between two schemes that proved identical in essence, which are usually used as initial values in the fit to the experimental levels. The ratios of the same k-value CF parameters are suggested as the constraint conditions in the fit, in order to utilize fully the symmetry distortion degree of the studied system.

利用群链理论，属稀土离子4f〓组态的波函数表示为以不可约表示标记的群链基波函数的线性组合；借助Wigner-Eckart定理和2jm和3jm因子的分解定律计算了晶场哈密顿的矩阵元；根据点电荷模型和已知晶体结构数据，利用点阵求和技术计算得到传统晶场参数B〓初值，相应的非传统形式的群链参数初值则由两种方案下的转换关系求得；这些初值通常作为非线性拟合晶场能级计算的初值，系统的对称性畸变信息则反映在以同阶晶场参数的比值作为能级拟合的约束条件。

At last, in Chapter 7, the author establishes the theory on global exact boundary controllability for first order quasilinear hyperbolic system of diagonal form and applies it to one-dimensional isentropic flow system.

最后，在第七章，本文对齐次的一阶拟线性对角型双曲组实现了整体精确能控性，并在一维等熵流方程组得到了应用。

On Dirichlet Problem of Singular Quasilinear Elliptic Equations;;Mathematics Analysis of Combustion Problem

中文题名奇异拟线性椭圆型方程Dirichlet问题；燃烧问题的数学分析

By the upper-lower solution method, we obtain the sufficient and necessary conditions on the global existence of solutions.

在第一部分中，我们考虑有界区域上拟线性抛物方程和方程组的整体存在性和不存在性，也即，爆破。

A piecewise linear approximation based on vector slope is presented in this paper.

介绍了用统计矢量斜率进行平面数据点分段线性拟合的算法。

In view of the identity, the sufficient conditions of nonexistence of weak solution for two classes of quasilinear probles are obtained.

利用该恒等式，得到了两类拟线性问题弱解不存在的充分性条件。

Using eight known specimens of Fenhuangshan copper deposit, and putting its itto the network to learn, after more than 5000 iterativenesses, the network constringed and the error of output reached the requiration of precision.

矿体的形成与定位也是各种控矿因素耦合作用的结果，其耦合机制是线性函数难以拟合的，而BP人工神经网络的高度非线性拟合功能恰好能解决这一问题。

In the last thirty years or more quasilinear degenerateparabolic equations of second order have been the subject of extensive study.

三十多年来，二阶拟线性退缩抛物方程得到了广泛的研究。

In this dissertation we consider the computation of the critical groups C〓 at infinity for a C〓-functional, and the applications to semilinear and quasilinear elliptic boundary value problems.

在这篇博士学位论文中，我们研究泛函在无穷远处的临界群C〓的计算问题，以及所得结果对半线性、拟线性椭圆边值问题的应用。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新