一类二阶常微分方程边值问题的无穷多个解

利用变分原理和Z2不变群指标研究了二阶常微分方程边值问题{u″(t)-u(t) f(t,u(t))=0,0＜t＜1,u′(0)=0,α1u(1) u′(1)=0,(其中α1＞-1/2).得出了这类方程存在无穷个解的充分条件.     

等离子体流注入实验

本文叙述简单磁镜中,等离子体流注入的实验结果。被磁镜场捕获的等离子体驱动了m=1的交换不稳定性,等离子体发生破裂的临界β值约5％,导电壁的线结效应对交换模有稳定作用。     

Families of methods for ordinary differential equations based on trigonometric polynomials

We consider the construction of methods based on trigonometric polynomials for the initial value problems whose solutions are known to be periodic. It is assumed that the frequency w can be estimated in advance. The resulting methods depend on a parameter ν = hw, where h is the step size, and reduce to classical multistep methods if ν → 0. Gautschi [4] developed Adams and Störmer type methods. In our paper we construct Nyström's and Milne-Simpson's type methods. Numerical experiments show that these methods are not sensitive to changes in w, but require the Jacobian matrix to have purely imaginary eigenvalues.     

Note on a proposed weighted residual method for solving nonlinear differential boundary problems

A proposed iterative method for solving nonlinear differential two-point boundary value problems is generalized and shown to be equivalent to using the standard method of adjoints on a linearized form of the nonlinear boundary-value problem.     

On the finite-source G/M/r queue

The aim of the present paper is to give the main characteristics of the finite-source $\text{G}\text{/}\text{M}\text{/r}$ queue in equilibrium. Here unit i stays in the source for a random time having general distribution function F_i(x) with density f_i(x). The service times of all units are assumed to be identically and exponentially distributed random variables with means 1/μ. It is shown that the solution to this $\text{G}\text{/}\text{M}\text{/r}$ model is similar in most important respects to that for the M/M/r model.     

An evasion game with a destination

This paper solves an aiming and evasion game in which a gunner with a number of shots attempts to hit an evader moving along the positivex-axis. The gunner's aiming of the evader is complicated by the fact that there is a delay due to the time taken for the shot to reach the evader from the gunner.     

非线性Schrodinger方程耦合组初边值问题整体解的存在唯一性

本文讨论非线性Schrodinger方程耦合组初边值问题,使用积分估计,得到了整体解的存在唯一性。