关于方程—△u＋f（x，u）＝h的一个新结果

该文研究二阶半线性椭圆型方程 -Δu+ f(x ,u) =h的Dirichlet问题弱解的存在性和唯一性。采用同胚的观点把问题转化为非线性算子 -Δ+ f(x ,·)的延拓性。用延拓方法得到了关于解存在的一个充分必要条件和解唯一的一个充分条件。这些条件是整体积分形式的。该研究不但是用了新的方法 ,而且在一定程度上推广了前人的结果     

求解极大极小问题的调节熵函数法的收敛性

对调节熵函数法的收敛性作了理论分析.     

关于线性规划问题解的讨论

用矩阵的奇异值分解和广义逆讨论标准线性规划问题解的存在性和唯一性问题。     

东中西部地区经济增长的要素投入作用比较

运用经济增长理论,以新经济增长模型为基础,对我国东中西部各地区1978～1998年劳动、资本、技术的增长率及对GDP的贡献进行分析,比较东中西部地区在要素投入增长、全要素生产率增长对经济增长贡献方面的差异。结果表明:我国现阶段的经济增长主要还是靠要素投入来拉动;但经济发达的江苏、浙江、广东、上海和北京这些省市的固定资产投资已经趋于饱和,其投资的边际产出已经很低,造成其资本利用效率低下,应着重进行技术创新,提高全要素生产率的贡献。而西部地区的省市应该是资金首先投向的地方。由于先阶段一个地区的经济增长率主要由其资本增长率决定,因此,西部开发要把重点放在提高各省市的资本生产率,即要提高其资金的使用效率,进而提高整个地区的综合生产率。     

高校科技产业发展的思考

本文首先分析国内外对高校参与经济活动的理论争论以及众多争论背后的本质问题,在此基础上研究中国高校产业特征及存在的问题,发掘其动因,并从三方面分析了高校产业的成本收益。最后根据我国的实际情况,提出相应建议,以便更好地发挥高校的作用,促进中国产业界的技术进步。     

统筹城乡经济社会发展:解决“三农”问题的重大战略

统筹城乡经济社会发展是解决“三农”问题、实现城乡经济良性循环的必然选择;是解决“三农”问题的重大创新;是全面建设小康社会内在要求的深刻体现。我们要通过深化改革,改变城乡二元结构,建立平等和谐的城乡关系,推进城乡经济社会统筹发展。     

A surface-based DNA algorithm for the minimal vertex cover problem

Abstract DNA computing was proposed for solving a class of intractable computational problems, of which the computing timewill grow exponentially with the problem size. Up to now, many achievements have been made to improve its performance and increase itsreliability. It has been shown many times that the surface-based DNA computing technique has very low error rate, but the technique hasnot been widely used in the DNA computing algorithms design. In this paper, a surface-based DNA computing algorithm for minimal ver-tex cover problem, a problem well-known for its exponential difficulty, is introduced. This work provides further evidence for the abilityof surface-based DNA computing in solving NP-complete problems.     

Impact of the Small Town Construction on Original Inhabitants in the Three Gorges Reservoir Area--A Case Study in Lishu Village, Changling Town, Chongqing Municipality, China

Based on the five-year long dynamic tracking and investigation of the peasant households of the Lishu village, the influences by small town construction on the economy and employment of the original peasant households are discussed. On the one hand, small town construction plays a positive role in adjustment of the industrial structure of the original peasant households and in the transfer of their employment towards non-agricultural industries. On the other hand the economic growth of the original peasant households is not so well sustainable, and is so fluctuating. Moreover,the unbalance of income distribution of the said households has been furthered, and small town construction has made the existing labor surplus of the original peasant households more serious, particularly the women labor surplus.     

关于常微分方程初值问题数值解误差的探讨

引用B样条插值函数讨论了一阶常微分方程初值问题的数值解 ,给出一个隐式近似求解公式 ,并得到此公式的局部截断误差为O(h5) ,整体截断误差为O(h4 ) .在此基础上又给出了一个校正显式求解公式 ,其局部截断误差为O(h4 ) .     

带阻尼的弹性碰撞问题的周期解

运用延拓引理与逼近框架,对于一类带阻尼的二阶碰撞方程,证明了2π 周期碰撞允许(admissible)解的存在性.