用变量梯度法构造李雅普·诺夫函数，解决一类二阶非线性系统解的全局渐近稳定性问题。
This article makes use of variable gradient method and structure Lyapunov Function to solve a kind of global asymptotic stability for solutions of non-linear system of the second order.
第一章研究了一类二阶抛物型方程组的一种新数值方法-再生核函数法。
In Chapter One, a new method of approximating the solution of second-order parabolic system using reproducing kernel function is devised.
一次二阶矩法可以方便用于功能函数为显式表达的情况，但对于可靠性要求较高的结构，其计算精度有时不能满足工程需要。
FOSM is usually used for the explicit performance function, and the accuracy of FOSM can not satisfy the engineering requirement sometimes for the structures which have higher reliability requirement.
采用引进具有二阶连续可微的辅助函数，将非线性不等式组转化为非线性方程组，然后利用牛顿迭代法对非线性方程组进行求解。
In is established the equivalence between the nonlinear inequalities with nonlinear equations by using auxiliary function, a descended Newton algorithm is proposed.
一次二阶矩法是目前求解结构可靠性分析的主要计算方法之一，该方法要求功能函数对随机变量的偏导运算。
Reliability analysis using First Order Second Moment (FOSM) is important for structural probability design, in which process demands the derivative operation.
一次二阶矩法是目前求解结构可靠性分析的主要计算方法之一，该方法要求功能函数对随机变量的偏导运算。
Reliability analysis using First Order Second Moment (FOSM) is important for structural probability design, in which process demands the derivative operation.
应用推荐