This book is about regularity properties of functional equations.
这本书是关于功能的方程式的规律性特性。
Some kinds of iterative functional equations together with some basic results are introduced in Chapter 1.
在本文的绪言中介绍了几类迭代函数方程，并对与之相关的一些基本结果作了一个简要介绍。
Two functional equations are proved for the angular distribution functions and can be used for their solutions.
证明了角分布函数满足两个函数方程。并由此导出几种新的定解方程。
As applications, the existence of common solutions for a class of system of functional equations arising in dynamic programming are discussed.
作为应用，研究了一类起源于动态规划的泛函方程组公共解的存在性问题。
This book contains, in a unified fashion, most of the modern results about regularity of non-composite functional equations with several variables.
用统一模式，这本书包含，大多数现代关于有几个变量的非合成功能的方程式的规律性的结果。
The detailed forms of the functional equations and the final governing equations for solutions are given for the cases of plane strain and plane stress.
对于平面应变及平面应力的情况分别给出函数方程与定解方程的具体公式。
Some existence theorems of common and coincidence solutions for a class of more general systems of functional equations arising in dynamic programming are shown.
本文讨论了动态规划中提出的一类更一般的泛函方程组公共解和重合解的存在性问题。
The basic elementary functions represented by functional equations were obtained by using the methods of solving ordinary differential equations and initial value probe.
用求解常微分方程及其初值问题的方法得到由函数方程表示的基本初等函数。
Some of the most important functional relationships in economics are determined by equations.
经济学中某些重要的函数关系都是由方程来确定的。
Functional differential equations is an important branch in the theory of mathematics.
泛函微分方程是数学学科中的一个重要分支。
The oscillation of neutral functional differential equations has important implications in both theory and application.
中立型泛函微分方程的振动性在理论和应用中有着重要意义。
Aim To study a class of boundary value problem of hyperbolic partial functional differential equations with continuous deviating arguments.
目的研究一类具有连续偏差变元的双曲偏泛函微分方程边值问题解的振动性。
In this paper, we have studied the oscillation of the first order neutral functional differential equations with delay and advanced argument, obtained, some sufficient conditions extended and impoved.
本文研究了既有滞后量又有超前量的一阶中立型常系数微分方程的振动性，得到了其振动的几个充分条件。
We studied a class of two order differential equations by means of the functional method.
用泛函的方法研究一类二阶微分方程周期解的存在性。
Partial functional differential equations come from many mathematical models in physics, biology, engineering and other fields, which have strongly practical background.
偏泛函微分方程来源于物理学、生物学、工程学等学科领域中众多的数学模型，具有强烈的实际背景。
Therefore, it is of great theoretical and practical value to research functional differential equations.
因此对泛函微分方程的研究，不但有重要的理论价值，而且有实用价值。
The second-order nonlinear differential equations are studied and the existence of the periodic degenerate solution is proved with the principle of the functional analysis.
应用非线性泛函分析的理论和方法研究了一类二阶线性微分方程，证明了周期衰减解的存在性。
In this paper, oscillation criteria of solutions for a certain partial functional differential equations are obtained.
本文给出一类双曲偏泛函微分方程解的振动准则。
We investigate the existence of almost periodic solutions of functional differential equations of neutral type by Liapunov functional which is not positive definite.
利用李雅普·诺夫泛函研究中立型泛函微分方程的概周期解的存在性，其中李雅普·诺夫泛函不是正定的。
In this pager hybrid methods of functional differential equations are investigated. Some convergence theorems are given and numerical example are presented.
术文研究泛函数微分方程数值解的混合算法，给出了收敛性定理及数值例子。
The study of iterative dynamical systems involves iterative functional differential equations.
对迭代动力系统的研究必然涉及迭代泛函微分方程问题。
By establishing a functional differential inequality, some sufficient conditions are obtained for the oscillation of solutions of certain partial functional differential equations.
通过建立泛函微分不等式，研究了一类高阶中立型偏泛函微分方程解的振动性。
In this paper we study the forced oscillations of boundary value problems of a class of higher order functional partial differential equations.
本文研究一类高阶泛函偏微分方程边值问题的强迫振动性。
The singularly perturbed functional boundary value problems for the discontinuous nonlinear ordinary di? Erential equations are considered.
研究了间断非线性常微分方程奇摄动泛函边值问题。
This paper studies the H-oscillations of hyperbolic partial functional in differential equations with deviating arguments and provides it with sufficient conditions.
本文研究了一类具有连续偏差变元带中立项的双曲偏泛函微分方程解的H-振动性，给出了判别解H-振动的充分条件。
This paper deals with the existence and uniqueness of the solution of a class of nonlinear functional integral equations.
研究一类非线性函数积分方程解的存在唯一性。
The forced oscillations of boundary value problems of a class of functional partial differential equations are studied.
通过研究一类高阶泛函偏微分方程边值问题的强迫振动性，建立了边值问题解的振动的充分条件。
In this paper, the existences of almost periodic solutions and pseudo almost periodic solutions for several classes of functional differential equations are investigated.
本文研究了两类具体含逐段常变量微分方程的伪概周期解的存在性问题和一类一阶微分方程组的数值解。
The cartoon component of an image is modeled by a bounded variation (BV) function; the corresponding incorporation of BV penalty terms in the variational functional leads to solve PDE equations.
图像的卡通部分是由一个有界变差(BV)函数来刻画，相应的将BV罚项合并到变分泛函中需要解偏微分方程。
The cartoon component of an image is modeled by a bounded variation (BV) function; the corresponding incorporation of BV penalty terms in the variational functional leads to solve PDE equations.
图像的卡通部分是由一个有界变差(BV)函数来刻画，相应的将BV罚项合并到变分泛函中需要解偏微分方程。
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