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Considering the geological condition and the construction practice of the expressway, the main factor which influences the earthiness and rock slope stability of expressway in the Chongqing area has been analysed.

结合重庆地区的地质条件和高速公路的建设实践,分析了影响重庆地区高速公路土质和岩质边坡稳定性的主要因素。

For Dirichlet problem of elliptic type equations,Chen[7]has proved the existenceof viscosity solutions under nature structure conditions.As for the oblique derivativeproblems,Ishii[6]has obtained the existencec results.But there is no result ofthese types on parabolic type equations.

对于椭圆型方程的第一边值问题,陈亚浙[7]用闸函数方法证得在一定的结构条件下定解问题存在连续粘性解,而斜微商问题的同类结果是Ishii[6]证得的,但对于抛物型方程似乎还是个空白。

For one-dimensional ocean temperature model, we optimally determined the initial and boundary conditions and related model parameters through variational assimilation method along with inverse problem techniques using incomplete and complete observational data,so as to determine the variation of position of epilimnion which has influences on SST.

由于温跃层的变化对海表温度的影响,我们以简单的海温模式为例,采用变分同化技术及反问题的技巧,在局部和整体观测资料下,对初、边值条件和模式参数等进行最优估计,确定温跃层的位置及其变化规律。4。

Under the appropriate assumptions, the asymptotic solutions of the problem with different forms are obtained according to the multiple number of the root of some equation, which is satisfied by the boundary value of the reduced problem, by giving the general expressions for the coefficients of outer solution expansion and the corresponding boundary conditions.

在适当的假设下,通过给出外部解展开式系数及其对应边界条件的一般表达式,根据退化问题的边值作为某方程的根的重数,得到了此问题不同形式的渐近解。

And to solve the linear problem is turned to obtain the solution of an operator equation equivalent to it.

相应线性方程的带积分边值条件的混合问题,则是通过求解与线性方程等价的算子方程解决的。

According to the analysis results, the dissertation gives the deformation and plastic zone curves family of the rocks of four different superincumbent depths and makes fitting analysis on the curves to obtain corresponding displacement formulation in quadratic polynomial form.

研究洞群稳定时以分析主厂房的下游边墙关键点位移或围岩塑性区为主,并通过回归分析的数学方法推求各种条件下的洞壁位移预测公式。

The first order absorption boundary condition is applied to the outside boundary, which can avoid the error caused by the plane wave assumption.

在外边界上统一应用适合于人工源的一阶吸收边界条件来形成边值问题,可减小基于平面波假设造成的人为截断边界的影响。

Chapter two mainly considers the periodic boundary value problems for impul-sive differential equations. Some existence results, obtained by the help of Schaeffers fixed point theorem and the method of upper and lower solutions coupled with the monotone iterative technique.

第二章讨论了两类周期边值问题,通过利用Schaeffer不动点定理,上下解方法和单调迭代方法,建立了解存在的充分条件。

In this paper, by using fixed point theorems of strict set contraction mapping, we study two kinds of boundary value problems for compact type conditions in Banach spaces.

中文摘要:本文利用严格集压缩映象的不动点定理分别讨论了紧型条件下的两类Banach空间边值问题。

Under the suitable conditions, the existence of positive solutions is established by using the abstract fixed point theorem.

研究几类二阶非线性常微分方程组的边值问题,在合适的条件下,利用锥拉伸不动点定理获得了其正解的存在性。

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