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 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。
The Exponential Convergence and Boundedness of the Solutions for Functional Differential Equations;
主要讨论了高阶齐次线性微分方程解取小函数的点的收敛指数。
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。
In Chapter 1, some basic theories of stochastic functional differential equations of Ito-type are developed.
第一章，建立了伊藤随机泛函微分方程的一些基本定理。
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。
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。
In this paper, we consider the oscillatory and asymptotic behavior of two kinds of two order impulsive functional differential equations.
本文主要讨论了两类二阶脉冲时滞微分方程的渐近性态及振动性。
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。
This paper is devoted to the investigation of the asymptotic behavior for a class of nonlinear parabolic partial functional differential equations.
本文研究一类非线性抛物型偏泛函微分方程的渐近行为。
We study the oscillation of solutions for a class of even order nonlinear neutral functional differential equations with continuous distributed delay.
研究一类具有连续分布滞量的偶数阶非线性中立型泛函微分方程解的振动性，得到了该类方程的若干新的振动准则。
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。
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。
The oscillation of a class of second-order nonlinear functional differential equations is discussed, and some new oscillation criteria for the equations are obtained.
讨论了一类二阶非线性泛函微分方程的振动性，得到一些新的振动准则。
In this paper, we study a class of boundary value problems of even order nonlinear neutral partial functional differential equations with continuous distribution delay.
该文获得了一类具有连续偏差变元的二阶非线性偏泛函微分方程的振动性的充分性条件。
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。
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。
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。
Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition.
其次，利用随机分析技巧和拟有界条件，建立了伊藤随机泛函微分方程解的延拓定理；
A system of retarted functional differential equations as a predator-prey model with stage structure and dispersion is discussed. Conditions for global stability of the system are given.
讨论了一类带有扩散和具有阶段结构与时滞的两种群捕食系统，分析了该系统的非负不变性、边界平衡点性质及全局渐近稳定性。
It is necessary for us to study the existence and controllability of the solution of stochastic differential inclusions and the existence of periodic solutions for functional differential equations.
因此，非常有必要对随机泛函微分包含解的存在性，可控性和泛函微分方程周期解的存在性问题进行研究。
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。
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 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。
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。
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。
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。
Sufficient conditions are established for the oscillation of systems of second order partial differential equations with functional arguments.
建立了具泛函变元的拟线性偏微分系统解振动的充分条件。
Sufficient conditions are established for the oscillation of systems of second order partial differential equations with functional arguments.
建立了具泛函变元的拟线性偏微分系统解振动的充分条件。
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