一类二阶非线性阻尼微分方程解的振动性

研究了一类二阶非线性阻尼微分方程解的振动性,建立了3个新的振动性定理,推广和改进了已知的一些结果.     

极点配置方法在起重机机架模型中的应用

以加拿大Quanser公司生产的起重机机架模型———旋转机架系统作为被控对象,研究了极点配置在起重机机架模型中的应用,并对系统进行了控制实验。结果表明,该方案对于起重机机架模型具有较好的控制效果,有一定的实用价值。     

非线性中立型时滞微分方程解的振动性

近年来，对于中立型时滞微分方程已有许多好的结果，如文献[1][2]．本文将对非线性中立型时滞微分方程解的振动性进行讨论．     

非线性科学的展望

简述了非线性科学及其内容和发展状况、研究的意义和应用领域,并对其发展前景进行了展望.     

非线性编辑在电视制作中的优势及技巧

通过对线性编辑与非线性编辑的比较,分析了非线性编辑的优势,并介绍了非线性编辑在当今电视制作各环节的具体做法和技巧。     

二阶变系数线性微分方程的求解

二阶线性齐次微分方程在微分方程理论中占有重要位置,但二阶变系数线性微分方程却没有一般的求解方法,给出了几种通过变量变换将二阶变系数线性微分方程化为二阶常系数的线性微分方程的充分条件.     

Portfolio Selection Model with Derivative Securities

Traditional portfolio theory assumes that the return rate of portfolio follows normality ,However,this assumption is not true when derivative assets are incorporated,In this paper a portfolio selection model is devel-oped based on utility function which can captue asymmetries in random variable distributions.Other realistic conditions are also considered ,such as liabilities and integer decision variables,Since the resulting model is a complex mixed-integer nonlinear programming problem ,simulated annealing algorithm is applied for its solution.A numerical example is given and sensitivity analysis is conducted for the model.     

约束非线性l1问题的极大熵方法

本文给出求解约束非线性l1问题的极大熵方法并证明了其收敛性。给出了极大熵与增广La grange乘子法相结合的算法 ,最后给出一个算例。     

非线性差分方程守恒律计算的算法

本文给出了非线性差分方程守恒律计算的算法，利用此算法可计算出离散KdV方程的守恒律。     

替代对偶算法求解多约束非线性背包问题

Multi-dimensional nonlinear knapsack problems are often encountered in resource allocation, industrial planning and computer networks. In this paper, a surrogate dual method was proposed for solving this class of problems. Multiply constrained problem was relaxed to a singly constrained problem by using the surrogate technique. To compute tighter bounds of the primal problem, the cutting plane method was used to solve the surrogate dual problem, where the surrogate relaxation problem was solved by the 0-1 linearization method. The domain cut technique was employed to eliminate the duality gap and thus to guarantee the convergence of tile algorithm. Numerical results were reported for large-scale multi-dimensional nonlinear knapsack problems.