一类线性互补问题解存在性判断的区间方法

利用目标函数的区间斜量,以Miranda定理为理论依据,将Moore-Kioustelidis定理推广到不可微情况,提出了一类线性互补问题解存在性判断的区间方法,给出了具体实例,表明这种判断方法是有效的.     

边值问题的某些存在定理(英)

本文给出关于边值问题解的某存在唯一性定理及其应用．     

周期摄动守恒系统的数值解

讨论了周期摄动非线性守恒系统。利用Hadamard定理证明了在适当的条件下连续问题解的存在唯一性。并在均匀网格上对方程作了离散化,给出了相应的离散问题具有唯一解的结果。最后讨论了数值解的精度及有关算法。     

Kantorovich theorem for variational inequalities

Kantorovich theorem was extended to variational inequalities by which the convergence of Newton iteration, the existence and uniqueness of the solution of the problem can be tested via computational conditions at the initial point.     

非线性椭圆型边值问题解的存在性

Hilbert空间方法被用于一类二阶半线性椭圆型边值问题并得出了某些条件下的解的存在性.     

ERROR ESTIMATES FOR THE FULL-DISCRETE MIXED FEM FOR NONLINEAR HYPERBOLIC PROBLEMS

1 IntroductionConsider the second order nonlinear hyPErbolic equationwhere D be a bounded domain in R' with Lipschitz boundary are, and J~ (0,TJ.The following regularity assumptions will be made on the functions a,c,f,g and solutionu of (1. I ):(1) there exist constantS c.,c*,a., and a' such that for all xos and ie R,(2) The functions a ~a (x, u),c ~ c(x, u ), f~f(x, u,t), g~g (x, t) are continuously differentiable with respect to u and t. Moreover, there exists a bound K= such that, for …     

求解互补问题的Newton方法的半局部收敛性

A semilocal convergence theorem is given for Newton method solving complementarity problems, which is identical in form to the standard Kantorovich theorem. All the convergence condition can be verified computationally.     

受迫Liénard方程周期解的存在唯一性

本文利用整体反函数理论证明了受迫Liénard方程x″ f(x)x′ g(t,x)=e(t)周期解的存在唯一性,推广和改进了现有的结果．     

ε-OPTIMAL SOLUTION FOR CONTINUOUS MINIMAX PROBLEMS WITH MAXIMUM-ENTROPY FUNCTION

This paper describes and explores a maximum-entropy approach to continuous minimax problem, which is applicable in many fields, such as transportation planning and game theory. It illustrates that the maximum entropy approcach has easy framework and proves that every accumulation of {x_k} generated by maximum-entropy programming is -optimal solution of initial continuous minimax problem. The paper also explains BFGS or TR method for it. Two numerical exam.ples for continuous minimax problem are given