Many problems of dynamical systems can be reduced to an iterative functional equation.
动力系统的许多问题都可以化为迭代函数方程。
This thesis deals with the research of algorithm which is applied to finding roots of complex functional equation.
基于常用的求解复函数方程根的算法，进行研究探讨。
This paper is concerned with an analytic invariant curves on a planar mapping of the iterative functional equation.
研究了复合迭代函数方程所代表的一类不变曲线的解析解，通过构造辅助方程的幂级数解，从而获得原方程的解析解。
Functional network is new network model. It is similar to artificial neural network and is network expression of functional equation.
泛函网络是类似于人工神经网络的新型网络模型，是泛函方程的网络表达形式。
Thus, the explicit recursive expression of the original unsolvable functional equation and a control law with easy implementation are obtained.
从而获得了原不可解泛函方程的解析递推表达式和一个易于实施的控制律的解析解。
According to the fundamental equation of steady current field, the corresponding functional equation is obtained by use of the linear differential operator.
从稳定电流场基本方程出发，通过定义线性微分算子，推导出与之等价的泛函方程。
In chapter 2, three kinds of planar mappings are discussed. We reduce the existence of analytic invariant curves of iterative functional equation by means of majorant series.
本文的第二章讨论了三类平面映射的解析不变曲线，用优级数方法讨论了不变曲线迭代函数方程解析解的存在性。
Many mathematical models in physics, mechanics, biology and astronomy are given in such forms. Many problems of dynamical systems can be reduced to an iterative functional equation.
许多物理学、力学、生物学以及天文学问题的数学模型都是由连续的或离散的迭代过程描述的。
A functional equation can be calculated by dimension on the basis of the similar principles of crab claws, and the relation between the mechanism parameters is studied and calculated by tests.
根据相似原理，利用量纲法推导试验函数方程。通过试验对机构参数间关系进行研究并进行预测。
The figure of regression equation of linearise turned from the functional equation of exponential curve is the best line to express the correlation of exponential curve in colorimetric analysis.
在比色分析中，由指数曲线函数方程转换的直线化回归方程的图形，是表达指数曲线相关的最佳直线。
Whereas many estimates about zooplankton had been based on biomass or functional groups, she has been trying "to put species back in the equation," she says.
鉴于许多对浮游生物物种分类的估计是基于生物量。
The correctness of the complete Euler equation set is verified with two functional examples.
通过两个算例验证了完全欧拉方程组的正确性。
Based on the thermal balance equation of heater element, the matrix for the cyclic functional method is established and the rules to fill this matrix are represented detailedly in this paper.
基于循环函数法的主导思想，通过对“加热单元”列能量平衡方程，构建了循环函数法的矩阵表达式，并对矩阵填写规则进行了详细阐述。
The fundamental equation of vapor pump and the functional relationship between, parameters are derived at stable operating condition in this paper.
通过理论分析和试验，导出汽心泵稳定工作的基本方程和性能参数之间的函数关系；
The existence of periodic solution to nonlinear functional difference equation is considered by using the topological degree, and a periodic solution of this problem is obtained.
利用拓扑度理论对一类非线性泛函差分方程周期解的存在性进行了讨论，得到该问题周期解的一个存在定理。
This paper deals with the oscillation of the first order nonlinear neutral type functional differential equation, and obtains sufficient criterion of the equation oscillation.
本文研究一阶非线性中立型泛函微分方程的振动性。得到了该方程振动的充分性判别法则。
By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated.
利用压缩映照定理，研究了一个二阶泛函差分方程边值问题，得到存在和唯一性定理。
The existence problem for a class of nonlinear retarded functional differential equation is researched.
研究了一类非线性滞后型泛函微分方程周期解的存在性问题。
The unified designing framework for nonlinear digital filters is subsequently derived, through solving the Euler-Lagrange equation of the unified energy functional.
随后，基于图像复原统一能量泛函的欧拉·拉格朗日方程，导出一种非线性数字滤波器的统一设计框架。
The oscillation and asymptotic behaviors of three order nonlinear functional differential equation with impulses are investigated, and some sufficient conditions are obtained.
研究了三阶非线性脉冲时滞微分方程解的振动性与渐近性，得到了一些充分判据。
Without any functional expansions, accurate orientational distribution functions are obtained by using a newly iterative method to solve the equation of equilibrium state.
不用任何函数展开，通过迭代方法求解平衡态方程，得到精确的取向分布函数。
By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated. Existence and uniqueness results are obtained.
利用压缩映照定理，研究了一个二阶泛函差分方程边值问题，得到存在和唯一性定理。
Som criteria on the asymptotic behavior (such as boundness, tending to zero) of solutions for a kind of third order delay functional differential equation are established.
本文讨论一类三阶时滞泛函微分方程解的渐近性质，给出了若干解的有界性及解趋于零的判定准则。
In this paper, we consider the oscillatory properties of neutral linear variable functional differential equation with piecewise constant delays.
本文研究分段常数变量线性中立型泛函微分方程的振动性。
It is well known that for a smoothing functional there exists a unique minimizing solution determined by a minimal function equation.
然而，直接求解由此得到的极小元素所满足的方程有较大的困难。
According to the Fresnel-Kirchhoff diffraction integral and nonlinear paraxial wave equation, we derive the functional relationship of the intensity of hot image and its location.
利用菲涅耳基尔霍夫衍射积分和非线性近轴波动方程，在远场近似及光学薄近似条件下，得出了位相调制产生“热像”出现的位置及强度满足的解析关系。
According to the Fresnel-Kirchhoff diffraction integral and nonlinear paraxial wave equation, we derive the functional relationship of the intensity of hot image and its location.
利用菲涅耳基尔霍夫衍射积分和非线性近轴波动方程，在远场近似及光学薄近似条件下，得出了位相调制产生“热像”出现的位置及强度满足的解析关系。
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