函数的积分

With this method, the controller of the PWM DC/DC converter is designed. Utilizing augmented matrix to build a tracking control model with no steady error, and through select weighted matrix to perform the no overshoot and dynamic response of system.

通过引入增广矩阵，增加了控制量U*中对误差的积分环节，推导了无静差跟踪控制系统模型；在目标函数的构成参量和形式确定之后，通过选取适当的加权矩阵，实现系统的无超调动态响应。

Applied Green's function, the differential equations will be transformed into the equivalent of integral equations, sufficient conditions for existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous boundary value problems with p-Lapacian operator are obtained.

文中，利用格林函数，将微分方程转化成等价解的积分方程，给出了该奇异非线性四阶p-Lapacian微分方程边值问题的正解的存在及惟一性的一个充要条件。

The boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function uses Cauchy integral formula as the foundation . The singularity of the Cauchy

广义解析函数的Riemann-Hilbert边值问题的边界元方法是以Cauchy公式为基础，Cauchy核具有奇性，这是所面临的困难，可以设法利用Cauchy主值积分来解决，最后给出问题的解。

In Chapter 2 and Chapter 3, we give the solutions of integral form on Orbifold T2/ZN(N = 3,4,6).These solutions include all the projection operators which have minimal trace and the induced matrices of which are continuous functions of kq. In terms of this kind of solution one can construct various closed form of solutions.

在第二章和第三章中我们给出了T~2/Z_N(N=3，4，6)上的以积分形式表达的解，这些解包括所有具有最小迹且诱导矩阵是kq参量连续函数的投影算子，并且可以由它进而构造各种有限形式的解。

In Chapter 2 and Chapter 3, we give the solutions of integral form on Orbifold T〓/Z〓(N=3, 4, 6). These solutions include all the projection operators which have minimal trace and the induced matrices of which are continuous functions of kq. In terms of this kind of solution one can construct various closed form of solutions.

在第二章和第三章中我们给出了T〓/Z〓（N=3，4，6）上的以积分形式表达的解，这些解包括所有具有最小迹且诱导矩阵是kq参量连续函数的投影算子，并且可以由它进而构造各种有限形式的解。

The background component must be calculated by integration of the product of aerodynamic force covariance and influence function, instead of mode superimposition, while the resonant component only consider the contribution of the 1st mode.

前者不能按振型分解法求解，而应通过对气动力协方差与影响函数乘积积分的方法来计算；后者可只考虑一阶振型的贡献，两者应按平方和开方的原则组合得到脉动风致响应的峰值。

In this paper, we will introduce the weighted modulus of smoothness and the weighted K-functional to discuss the direct and the converse theorems, the local saturation results on the simultaneous approximation on an infinite interval with Jacobi-weight by the integral operator, the lin...

本文利用带权光滑模与带权K--泛函讨论定义在无穷区间上的积分型算子Gamma算子线性组合对空间L_∞(0，∞)中函数的带Jacobi权同时逼近的正逆定理以及局部饱和结果，还讨论了Gamma算子的强逆不等式。

When obtaining this condition,we don\'t use any bounding technique to deal with the weak infinitesimal operator of the Lyapunov function by using the knowledge of stochastic analysis.

积分的性质，引入了适当的自由权矩阵，避免了对Lyapunov函数的弱无穷小算子进行放大，从而降低了稳定性条件的保守性。

In the numerical simulation, the new formulation not only remedies the boundary deficiency problem in the original SPH but also more efficiently repairs the truncated integral in kernel approximation caused by discontinuity and eliminates the errors from particle inconsistency in discontinuous region.

比较不同SPH方程近似二次函数的结果，新方法不仅改进了传统SPH方法存在的边界缺陷问题，同时在非连续区域内也能更有效地修复由非连续引起的核近似截断积分和消除粒子不一致性所造成的误差。

By using center manifold theorem and normal form of maps, we also present formal proofs of the supercritical flip bifurcation at the bifurcation point. Above this threshold, there is a characteristic sequence of bifurcations, leading to chaotic dynamics, which implies that the dynamical behavior of the single species model with birth pulses are very complex.

利用单参数族映射的中心流形定理、正规型和指数积分函数的性质，得到了具非线性出生率或具密度依赖成熟率的混杂矩阵模型正平衡态的存在性和稳定性、超临界分支以及各种复杂现象甚至混沌。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。