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The difference schema of the initial boundary value problem was converted to the step-by-step form,which was similar to the difference schema of the initial value problem.It is concluded that the difference schema satisfying the Von Neumann condition is a stable schema,and that,under the consistency condition,such stable schema is convergent.Moreover,with error estimate expression for the difference approximation to the classical solution,the linearity condition is unnecessary.

引入反投影算子将发展方程初边值问题的差分格式转化为与初值问题差分格式类似的逐步推进的形式,从而得出:满足Von Neumann条件的差分格式是稳定的格式;在相容条件下,差分格式若稳定(或满足VonNeumann条件)则格式收敛,且对古典解的差分逼近有误差估计式,不再需要线性的条件。

The result showed that,if only the necessary but insufficient condition,the equilibrium condition ,was adopted to deal with the infinite uncertain boundary condition,the solution to the stress was non-unique due to the fact that the boundary problem here was a mal posed mathematic problem.

通过两个典型的半无限体实例,对水平表面作用无限均布压力下弹性地基的应力和位移解答进行研究,结果表明:对边界条件不明确的无限边界仅采用解答的必要非充分条件——平衡条件来等效处理,其应力解答不是唯一的,因为此时该边值问题不是一个适定的数学问题。

The grazing bifurcation point is found in terms of the conditions for the existence of grazing orbit.The bifurcation diagrams are gained through previous piecewise smooth map and numerical calculation,they are similar structurally.

利用擦边分岔条件找到了此系统的擦边分岔点,利用推导的擦边分岔的分段映射和直接数值仿真获得不连续分岔图,两者得到的分岔图在结构上是类似的。

From numerical analysis result obtained by abovementioned two methods (safety coefficient being less than 1.1) and combination with the geological evaluation in situ, the high rock slope of the left abutment downstream is considered as a potentially unstable one under natural condition and pondage cases. So it is necessary to be further studied.

根据上述两方法相结合的数值分析结果(安全系数小于1.1,并结合现场工程地质评价,认为在自然边坡及蓄水条件下,左坝肩下游高边坡属于潜在不稳定边坡,需进一步研究。

Together with some basic knowledge of Linear Algebra, we prove that there exists a polynomial time algorithm for finding the shortest contractible cycle in an locally LEW-embedded graph. 3. By some results of Minor Theorem, we prove the crossing numbers of some circular graphs C(10,4), C(9,3), C(8,3) on the projective plane.

利用C.Thomassen在大边宽嵌入方面的工作,得到了局部大边宽嵌入图的一些性质,再利用线性代数的知识,证明了在局部大边宽条件下存在多项式时间算法可以找到一个图的最短可收缩圈。

Thirdly,we study certain Riemann boundary value problems and Singularintegral equations with values in a universal Clifford algebra 〓,by com-bining the classical methods of solving Riemann boundary value problems andsingular integral equations with the Taylor's expansion of regular function in Clif-ford analysis,proving a lemma which is similar to the Painleve theorem in theclassical complex analysis,and the Plemelj formula in Clifford analysis,we obtainthe better results under weaker condition than before.

第三,本文第一次借助于用来解决经典的Riemann边值问题与奇异积分方程的方法来研究Clifford分析中的某些Riemann边值问题与奇异积分方程,获得了在比以前文献中条件更弱的情况下,结论更广的结果,并且,它为更进一步地解决在Clifford分析中一般的Riemann边值问题与奇异积分方程提供了基本的解决思想,为这一新的研究领域奠定了基础。

According to the characteristic of 3-D loom in existence, leading-yarn needle and crochet hook is designed in the selvedge apparatus to realize the selvedge by using the knitting method. They are all driven by high pressure air cylinders with different models, which are chosen based on the demand of various moving parts. The apparatus element is controlled by electromagnetic valve, so it can syncretize very well with the loom.

根据现有织机机构特点,边部机构中设计了引纱针与钩边针配合运动来实现针织锁边,这两部分装置都采用气动驱动,气缸型号根据机构的要求和条件选择,执行元件均由电磁阀控制,与织机整体很好地融合在一起。

Combined with engineering in Pingding county,it analyzes cause of failure applying for soil nail wall support according to geological condition of side slope,introduces new treatment plan,and summarizes points on analyzing and treating stability of side slope.

以平定县某工程为例,根据边坡的地质条件,分析了采用土钉墙支护失败的原因,介绍了边坡重新治理方案,总结了分析和治理混合介质边坡稳定性的注意要点。

In this paper,the Riemann boundary value problem for bianalytic vector function s is investigated using the theory of boundary value problem for analytic functions,we have not only found the solution method for bianalytic vector function s,but also established an explicit form of the general solution and the conditions for the solvability of the above problem.

利用解析向量函数边值问题理论,提出了双解析向量函数的R iem ann边值问题,并研究了问题的解法和解的一般表达式及可解性条件,得到了相应的可解性定理,同样方法可解决多解析向量函数的边值问题

The existence of solutions for two-point boundary value problem subject to nonlinear second order differential equation with mixed boundary conditions is studied by using topological transversality theorem, and some known results are improved.

现利用拓扑横截定理,考虑了二阶常微分方程两点边值问题在组合边界条件下的解的存在性,对二阶常微分方程两点边值问题所对应的辅助问题作先验界估计,并利用拓扑横截定理,得到了边值问题解的存在性,推广了一些已有结果。

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