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.
相应获得了有界c -半群点的弱概周期。
Accordingly we have weakly almost periodic of point in a bounded C-semigroup.
可公度性即概周期性,是周期性的一种扩展。
The commensurability (approximate periodicity) is the expansion of periodicity.
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.
对向量值缓慢振动函数及遥远概周期函数的性质作了讨论。
The properties of Vector-valued remotely almost periodic function and oscillate slowly function are discussed.
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.
即使对于概周期的情形,我们的定理也推广了一些早期的结果。
Even in the case of almost periodicity, our theorems extend some earlier results.
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.
作为推论,我们给出了概周期正解的存在性定理并且推广了已有的结果。
As a corollary, we present some existence theorems of positive almost periodic solutions, which generalize some existing results.
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.
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.
基于解决实际问题的需要,张传义教授提出了伪概周期函数和伪概周期序列。
Based on the need of solving practical problems, Professor C. Zhang proposed pseudo almost periodic function and pseudo almost periodic function sequence.
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.
在顺流向初应力为压应力状态下,系统存在非周期响应,如概周期振动及混沌运动。
When the initial stress is pressure stress, more complicated responses such as almost-periodic solutions and chaos motion are found in the system.
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.
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.
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.
分析表明,系统除具有各种形式的周期和概周期振动以外,还具有丰富的混沌运动与分叉现象。
It is indicated that besides periodic and quasi periodic vibrations the system shows different forms of chaotic motion and bifurcation phenomena. Chaotic motion and various related...
分析表明,系统除具有各种形式的周期和概周期振动以外,还具有丰富的混沌运动与分叉现象。
It is indicated that besides periodic and quasi periodic vibrations the system shows different forms of chaotic motion and bifurcation phenomena. Chaotic motion and various related...
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