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- We study the existence problem of fourth-order boundary value problems with a derivative term using upper and lower solution method. Then we give an application of our results. 摘要利用上下解方法，研究了含导数项的四阶微分方程边值问题的解的存在性，给出了所获结果的一个应用。
- Soft computing is a collection of methodologies that aim to exploit the tolerance for imprecision and uncertainty to achieve tractability, robustness, and low solution cost. 摘要软计算是一些计算方法的集合，这些计算方法的指导思想均是通过对不精确性和不确定性的容纳，以达到可处理性、鲁棒性和低成本求解的目的；
- Soft computing is a collection of methodologies that aim to exploit the tolerance for imprecisionand uncertainty to achieve tractability,robustness,and low solution cost. 软计算是一些计算方法的集合,这些计算方法的指导思想均是通过对不精确性和不确定性的容纳,以达到可处理性、鲁棒性和低成本求解的目的;
- It extends traditional computing methodologies so that the system can deal with uncertain and imprecise data and information in order to achieve tractability, robustness and low solution cost. 软计算对传统算法进行了拓展，从而能够处理不确定和不精确的数据和信息，从而可以得到具有易处理性，鲁棒性，低成本的解决方案。
- A existence result is obtained via upper and lower solutions method coupled with the monotone iterative technique. 利用上下解方法结合单调迭代技巧，我们得到了解的存在性结果。
- Applying upper and lower solution method, we investigate the existence of solutions of a class of periodic boundary value problems for impulsive differential equations with piecewise constant argument. 利用上下解方法,研究了一类具逐段常数变元的脉冲微分方程的周期边值问题的解的存在性。
- The present paper using upper and lower solutions,proves an existence theorem of almostperiodic solutions for integrodifferential systems. 采用上下解方法，给出了一个积分微分系统概周期解存在的一般性定理。
- Monotone iteration method and upper and lower solutions were used to approach to the solution of the first-order integral boundary value problem on time scales form below and above by monotone convergent sequence. 摘要运用单调迭代方法和上下解方法构造了两个单调序列，从上下两个方向分别收敛到一阶积分边值问题。
- the upper and lower solution method 上下解方法
- The dynamics of a coupled system of semilinear parabolic equations with discrete time delays is investigated using the method of upper and lower solutions. 动态的耦合系统的半线性抛物方程的离散时间的拖延，研究使用的方法，上部和下部的解决办法。
- The sufficient conditions are obtained for existence of extreme solutions by using upper and lower solutions method couped with monotone iterative technique. 通过利用上下解方法并结合单调迭代技术得到了边值问题的极大解和极小解的一组充分条件。
- The dynamics of coupled system of semilinear parabolic equations with time delays is investigated using upper and lower solutions and its associated monotone iterations. 利用上下解方法及相应的单调迭代序列给出了解的渐近性质。
- By using the methods of lower solution and supper solution, the main results are obtained as follows:the equation exists positive decaying entire solutions under proper conditions. 以上下解方法为主要工具得到了如下主要结果：此类方程在不同条件下存在无穷多个正整体解，其渐近性态是每个解满足不同的衰退特征。
- Sherman recommended that Clarke be disciplined, but higher-ups rejected the idea. 谢尔曼建议对克拉克进行纪律惩戒，但高层拒绝了这个意见。
- method of upper and lower solution 上下解
- Unwaged members pay a lower entrance fee. 无固定收入的人入场费从优。
- L-quasi-upper and lower solution L-拟上下解
- A man's voice is usually lower than a woman's. 男子的嗓音通常比女子的低。
- The little boy used to push out his lower lip. 那个小孩以前老要撅起下嘴唇。
- Tom was lying on the lower bunk. 汤姆躺在下铺。
