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This paper considers existence of extreme solutions to first-order differential equations with a parameter by the method of lower and upper solutions with monotone iterations,and monotonic sequence is uniformly converged to the extreme value solution of nonlinear equation after being constructed.

文章利用上下解方法和单调迭代技术讨论了含有一个参数的微分问题极值解的存在性，通过构造单调序列使这个单调序列一致收敛于非线性方程的极值解。

In this paper, one of the particle discrete element method named particle flow code in 2-dimensionPFC~(2D is used. Based on the results of lab tests, sand behavior under monotonic and cyclic loading is simulated from the aspect of association of macro and micro scope.

本文利用颗粒离散元法中的二维颗粒流方法，以试验研究结果为基础，从宏细观结合的角度对单调与循环加荷条件下砂土的力学性质进行了细观模拟。

In this paper the structure principle of GM(1, 1) was analyzed and the defect was pointed out that the traditional model only adapt to the data with exponential law, and only can fit for the monotonic data. The prediction is defected when there are two consecutive data unchanged, and 'a' is equal to 0.5 in prediction formula.

从传统GM(1，1)预测模型构造原理出发分析其存在的理论缺陷，此模型适用于具有较强指数规律的序列，只能描述单调变化过程，而且预测数据序列中出现连续两个相等值时将使得a等于0，会使预测数列发散致使预测失效。

The acting force needn't to be monotonic or harmonic. A series of simulations of a fan blade with shroud system has been carried out.

基于解析模型和离散模型，本文分别采用频域法和时域法对凸肩阻尼叶片进行了受迫振动响应分析。

According to the structured element representation theorem of fuzzy number and fuzzy-valued function, we obtained one-to-one isometric mapping from the family of standard bounded monotone function with same monotonic formal on [-1, 1] to the fuzzy number space, and proved they are homeomorphic.

在模糊值函数的模糊结构元表述理论的基础上，利用[-1，1]上同序标准单调函数类上的距离诱导出模糊值函数空间上的距离，证明了模糊实数空间与[-1，1]上同序单调函数类同胚。

Owing to the monotonic mapping of fuzzy structured element established the homeomorphic property between fuzzy number space and the family of standard bounded monotone function, so, we can transform the study of any properties in fuzzy number space to the corresponding one in the family of standard bounded monotone function, e.g.

本项目针对矿井下采空区岩石陷落形成的多孔隙介质空间的极度不规则性，建立一种以模糊值函数分析学为基础的、更接近于刻划采空区内气体流动实际状况的模糊微分方程及各种边值问题，进而得出解算复杂采场气体模糊渗流问题的数学方法。

Prove that if f is bounded on and monotonic on, then it is integrable on

证明：如果f在上有界，在上为单调，那麼它在上可积

Moreover, existence, uniqueness and continuous dependence of decreasing solutions and non-monotonic solutions for a linear iterative functional equation are discussed.

第三章研究了线性型迭代方程的拟凸解、拟凹解、凸解及凹解的存在性。

Under the Lipschitz conditions,using Morrey space and Campanatospace methods and filling-hole technique to clear off the difficulty,whicharoused by that monotonic inequalities are no longer true and blow-uptechnique are very difficult to be used again,we obtain that the weaksolutions or the very weak solutions to systems(3)are locally Holdercontinuous.

对方程组（3），我们增加了Lipschitz条件，利用Morrey空间法和Campanato空间法和补洞技巧等来克服非齐次项带来的，单调不等式不再成立和Blow-up技巧难于适用的困难，得出了方程组（3）在一定的条件下的很弱解和弱解是局部〓连续的。

The relationship between diffraction and external static magnetic field strength is non-monotonic.

其静态衍射与外磁场强度呈非单调的关系；其动态衍射的特征时间与外磁场的强度成反比，与磁性液体的浓度成正比。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"