有关边界层问题中一类奇异积分方程新的存在性结果

对边界层理论新结果中出现的一类奇异积分方程w（t）=∫1 t（1-s）（λ＋λs＋s）/w（s）ds＋（1-t）∫t 0s/w（s）ds,t∈（0,1）进行讨论，并得出了上述方程在λ∈（-1/2,0）上正解存在性的新结果。     

关于Diophantine方程的解

对于正整数a ,设S(a)是Smarandache函数。证明了 :方程S(1·2 ) +S(2·3) +… +S(x(x +1) ) =S(x(x +1) (x +2 ) /3)仅有正整数解x =1。     

空间数据仓库的认知过程

从理论上探讨了空间数据仓库的认知过程．主要是十一个层次的世界模型通过十个算子转换的过程，对十一个层次世界及十个算子概念进行了较详细地讨论，并用代数系统对其进行了定义。     

四阶奇异边值问题无穷多个正解存在性的一个注记

本文考虑四阶奇异边值问题x( 4 ) =λa(t) f (t,x(t) ) ,0 相似文献   

模糊化(拓扑)导算子的公理化

将模糊化(拓扑)导算子进行了公理化，并且给出了若干模糊化(拓扑)导算子的刻画；同时建立了模糊化(拓扑)导算子和模糊化(拓扑)闭包算子之间的关系。     

混合型单调算子对的不动点研究及其在微分方程组的应用

提出了混合型单调算子对的概念,并给出了其不动点的存在唯一性;研究了它在微分方程组的具体应用.     

Third order contribution to the wave-making resistance of a ship at finite depth of water

This paper presents a potential based boundary element method for solving a nonlinear free surface flow problem for a ship moving with a uniform speed in finite depth of water. The free surface boundary condition is linearized by the systematic method of perturbation in terms of a small parameter up to third order. The surfaces are discretized into flat quadrilateral elements and the influence coefficients are calculated by Morino's analytical formula. Dawson's upstream finite difference operator is used in order to satisfy the radiation condition. The second order solution gives better result than the first or third order solution. So the present method with the second order solution can be adopted as a powerful tool for the hydrodynamic analysis of the thin ship in finite depth of water.     

断层垂向封闭性定量研究方法及其在准噶尔盆地白家海凸起东道海子断裂带应用

断层的垂向封闭能力主要取决于断面的紧闭程度和断裂带内填充物的岩性。在定量计算断面正压力和断层两侧地层泥地比的基础上,提出了断层垂向封闭因子(Fvs)的概念,并将其定义为断面正压力与断层两侧地层泥地比的乘积。通过该参数可以定量评价断层的垂向封闭能力。以准噶尔盆地东道海子断裂为例,在建立断层垂向封油、气能力评价标准的基础上,应用断层垂向封闭因子(Fvs)定量评价了该断裂带的成藏期垂向封闭性及现今垂向封闭性,分析了该断裂带对油气成藏的控制作用,得到较好效果。     

支持国产软件维护企业自身生存发展

在选用国产CAD软件时,总结了设计软件影响企业稳定盈利的因素,进行综合分析和对比,制定相应的策略和方法,以积极的态度解决了国产CAD软件的应用问题。     

Numerical analysis of the symmetric methods

Aimed at the initial value problem of the particular second-order ordinary differential equations,y =f(x, y), the symmetric methods (Quinlan and Tremaine, 1990) and our methods (Xu and Zhang, 1994) have been compared in detail by integrating the artificial earth satellite orbits in this paper. In the end, we point out clearly that the integral accuracy of numerical integration of the satellite orbits by applying our methods is obviously higher than that by applying the same order formula of the symmetric methods when the integration time-interval is not greater than 12000 periods.