以下为句子列表：
英文: A direct iteration method in solving normal equations by means of bidirectional asynchronous integral has been successfully exploited, so that it can efficiently overcome the difficulty in solving two-point boundary value problems resulting from inverse s
中文: 文中提出双向异步积分迭代求解正则方程组的直接迭代法，较好解决了状态方程和协态方程稳定性相逆给求解两点边值问题带来的困难。
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英文: A finite difference method with accuracies of fourth order in space and second order in time is proposed for time-periodic solutions of a nonlinear parabolic boundary value problem.
中文: 摘要建立了一个用于求解非线性抛物型方程时间周期解的有限差分方法，在空间和时间方向上该方法分别具有四阶和两阶精度。
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英文: A necessary and sufficient coindition for the existence of positive solutions of a class of singular boundary value problems of higher order differential equations is given by means of the method of lower and upper solutions with the maximum principle.
中文: 摘要利用上下解方法和极大植原理给出了一类高阶微分方程的奇异边值问题正解存在的充分必要条件。
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英文: Abstract: By the first integral method and properties of integral depending on a parameter, the necessary and sufficient condition on the existence of dead core solution for the boundary value of a class of nonlinear ordinary differential equations has be
中文: 文摘:应用首次积分法并结合含参变量积分的性质，具体构造了一类二阶非线性常微分方程边值问题存在非负死角解的充分必要条件.
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英文: Abstract: The method to determine the shape of solidification shell in the process of continuous casting of steel is studied.By establishing the model of stable temperature field,with the observation of first and second boundary value on the exterior of t
中文: 文摘:讨论了钢铁工业连铸过程中结晶器内连铸坯凝壳形状的确定方法.通过建立稳定温度场模型，在现有观测条件下，用边界变分方法给出了确定铸坯凝壳形状的辨识算法.实验数据显示此方法是有效的.
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