给出了带有双侧共振的非线性微分方程周期解存在性的一个新的结果。
A new result about existence of periodic solutions of nonlinear differential equations with double resonance will be given.
本文研究了具有时滞的细胞神经网络周期解存在性和平凡解的稳定性问题。
In this paper, the problem of periodic solutions and stability of Cellular Neural Networks with delay is studied.
利用两点拉伸型不动点定理给出一阶时滞差分方程周期解存在性的充分条件。
Based on the fixed point theorem of two-point extension type, sufficient conditions are derived for the existence of positive periodic solutions of delay difference equations.
并且作为本文研究系统(1)的一些特殊情况，分别得到了相对应系统周期解存在性的充分性条件。
Furthermore, as some special situations for our studied system (1), the corresponding sufficient conditions for the existence of periodic solution are obtained respectively.
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.
对于系数具有周期性时，我们给出了渐进周期解存在并且唯一的必要条件。
In case the coefficients are periodic, we give some sufficient conditions for the existence and uniqueness of asymptotic periodic solution.
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.
证明了极限环和周期解的存在性。
我们用初等方法证明了周期解的存在性，并且扩大了文献中给出的参数范围。
We use some elementary methods to demonstrate the existence of a periodic solution for a considerably larger parameter set than considered earlier.
本文利用拓扑度理论研究三阶微分系统反周期解的存在性。
Using topological degree the existence of anti-periodic solutions for third order differential systems is studied.
利用分支理论分析了非平凡周期解的存在性。
Further, the existence of a nontrivial periodic solution is considered by using bifurcation theory.
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.
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.
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.
利用重合度理论讨论一类多个时滞微分方程的周期解的存在性。
By suing coincide degree theory, this paper discusses the existence of periodic solution for a kind of differential equation with several delays.
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.
利用重合度理论证明系统正周期解的存在性。
The existence of the strictly positive periodic solution of the system is proved by using coincidence degree.
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.
研究抽象空间微分方程周期解的存在性一直是比较困难的问题。
It is a difficult problem studying the existence of periodic solutions of differential equation in abstract Spaces.
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.
第二章详细论证了一类具有无穷时滞中立型积分微分方程周期解的存在唯一性和稳定性。
The second chapter discusses and proves the existence and uniqueness of periodic solutions and stability of a neutral integral and differential equation with infinite delay in detail.
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。
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.
本文讨论渐近线性强迫波方程周期解的存在性。
In this paper we discuss the existence of solution of an asymptotically linear wave equation.
关于对称时滞微分方程中的周期解的存在性和全局持续存在性，现在已有一些一般性的理论。
Some general theorems are available about the existence and global continuation of periodic solutions in symmetric delay differential equations.
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.
运用分歧理论、固有值的解析摄动理论和渐近展开的方法，获得了共存时间周期解的存在性和稳定性。
The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion.
通过构造差分方程的周期数列解，研究了一类具有分段常数变元的脉冲微分方程周期解的存在性。
The existence of periodic solutions for a class of impulsive differential equations with piecewise constant argument is studied by constructing periodic sequence solutions of difference equation.
通过构造差分方程的周期数列解，研究了一类具有分段常数变元的脉冲微分方程周期解的存在性。
The existence of periodic solutions for a class of impulsive differential equations with piecewise constant argument is studied by constructing periodic sequence solutions of difference equation.
应用推荐