一类摆动方程概周期解的存在性。
Existence of almost periodic solutions for a class of pendular equations.
本文主要是研究微分方程组的回复解和概周期解的问题。
The main object of this paper is to study the problems of recurrent and almost periodic solutions of differential equations.
本文主要讨论了差分方程的概周期解与伪概周期解的存在性。
In this paper, we investigate the existence of almost periodic solutions and pseudo almost periodic solutions for difference equations.
应用该定理,给出了一类时滞积分方程的正概周期解的存在性结果。
As an application, some existence results of positive almost periodic solutions for delay integral equations are obtained, which generalize the existing results.
利用不动点理论,给出了一类时滞积分方程渐近概周期解的存在性定理。
Using the theory of fixed point, we give a theorem about the existence of asymptotically almost periodic solution for a class of delay integral equations.
研究了N种群互惠系统的概周期解和渐进概周期解,并得出其相关结果。
This paper is mainly concerned with the problem of almost periodic solution and asymptotically almost periodic solution of the N-species cooperation system and some results are given.
无限区间上s -分布时滞广义递归神经网络模型概周期解的全局渐近稳定性。
Global asymptotic stability of general recurrent neural network models with S-type distributed delays on infinite intervals.
利用不动点方法及对差分方程构造概周期解,获得了概周期解存在的充分条件。
By using fixed point theorem and constructing almost periodic sequence solution for difference equation, the authors get the sufficient conditions for the existence of the almost periodic solution.
本文主要讨论几类非线性方程的(拟)概周期解和(渐近)概自守解的存在性。
In this thesis, we discuss mainly the existence of (pseudo) almost periodic solutions and (asymptotically) almost automorphic solutions for some nonlinear equations.
利用指数二分及函数的遍历性,讨论了一类线性微分方程渐近概周期解的存在性。
Using the exponential dichotomy and ergodicity of functions, we discuss the existence conditions of asymptotically almost periodic solution for some linear differential equations.
利用不动点理论,给出了一类半线性微分方程有界的调和伪概周期解存在的充分条件。
Using fixed point theorems, in this paper we give sufficient conditions of the existence of bounded mild pseudo almost periodic solution for some semilinear differential equations.
利用不动点理论,给出了一类非线性延迟积分方程正的渐近概周期解存在的充分条件。
Using fixed point theorems, in this paper we give sufficient conditions of the existence of asymptotically-almost-periodic solution for some nonlinear delay integral equations.
最后讨论了概周期解现象,得出了概周期正解的唯一存在性和全局渐进稳定性的充分条件。
Finally, we discuss almost periodic phenomena, and obtain some sufficient conditions which assure the unique existence and globally asymptotic stability of almost positive periodic solution.
研究非线性Volterra方程概周期解,得到方程存在唯一概周期解的一组充分条件。
A nonlinear Volterra integrodifferential equation is investigated. The existence and uniqueness of almost periodic solutions for the equation is obtained.
利用李雅普诺夫函数和微分不等式探讨带扩散Schoner模型的概周期解的稳定性问题。
The almost periodic solution of non-autonomous diffusion Schoner models is discussed through Liapunov function and differential inequalities.
研究一类具有无限时滞的非线性微分积分方程,其概周期解的存在性、唯一性及稳定性等问题。
A study is made on existence and uniqueness and stability of almost periodic solutions to a class of nonlinear integrodifferential equations with finite time lag.
在§3中,研究一般概周期系统,讨论了其概周期解和渐近概周期解与分离性之间的某些关系。
In section 3, the author discusses some relationships among the separabilities and the almost periodic and asymptotically almost periodic solutions of almost periodic system.
对系数是概周期函数的传染病s IS模型进行了研究,得到了概周期解存在惟一的一个充分条件。
An epidemic SIS model whose coefficient is almost periodic functions is studied. A sufficient condition of existence and uniqueness of positive periodic solution is obtained.
作者对一类广义强迫lienard方程进行了研究,给出了其概周期解存在性的一个新的充分条件。
A generalized forced lienard equation is studied and a new sufficient condition for the existence of almost periodic solutions for this equation is given.
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。
In this paper, the existences of almost periodic solutions and pseudo almost periodic solutions for several classes of functional differential equations are investigated.
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。
We investigate the existence of almost periodic solutions of functional differential equations of neutral type by Liapunov functional which is not positive definite.
非线性系统的长期规则运动除了平衡点和周期解以外,概周期解,或有时表现为拟周期解也是一种长期规则运动。
Besides the equilibrium and periodic solution, the almost periodic solution, which sometimes appears as quasi-periodic solution, is also a long term regular motion of nonlinear system.
研究具时滞的三阶非线性微分方程,利用变量替换和不动点方法,得到了此方程有界解和概周期解的存在性及唯一性结果。
This paper deals with the problems on the existence and uniqueness of bounded solutions and almost periodic solution for third order nonlinear differential equations with time lag.
运用Leray - Schauder不动点定理和Luapunov函数,研究了一类三阶非线性微分方程概周期解的存在性。
Solutions for a class of third order nonlinear differential equations are studied by using the Leray Schauder fixed point theorem and the method of Liapunov function.
本文利用不动点理论,给出了一类非线性延迟积分方程正的概周期型解的存在性条件。
In this paper, we give the conditions of existence of positive almost periodic type solutions for some nonlinear delay integral equations.
一股的方程我们已经能够解决相关的概周期函数类型解的存在性和唯一性。
We have solved the existence and the uniqueness of almost periodic type solutions of ordinary equations.
一股的方程我们已经能够解决相关的概周期函数类型解的存在性和唯一性。
We have solved the existence and the uniqueness of almost periodic type solutions of ordinary equations.
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