证明了极限环和周期解的存在性。
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.
用差分法证明了其周期解的存在性；
The existence of periodical solutions is proved by the difference method;
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.
利用重合度理论证明系统正周期解的存在性。
Some results on the existence and multiplicity of positive periodic solutions are derived.
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.
用泛函的方法研究一类二阶微分方程周期解的存在性。
We studied a class of two order differential equations by means of the functional method.
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.
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.
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.
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.
主要研究了一类带有阻尼项的二阶哈密顿系统的周期解的存在性。
The purpose of this paper is to study the existence of periodic solutions of a class of second order Hamiltonian Systems ith damping term.
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.
研究一类具有分布滞量的高维周期微分系统周期解的存在性和唯一性。
A study is made on the existence and the uniqueness of periodic solution to a class of higher dimensional periodic differential systems with distributed delay.
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.
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.
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.
研究了一类具有连续分布延时的反馈神经网络模型的周期解的存在性和全局稳定性。
Both the global exponential stability and the existence of periodic solutions for a class of recurrent neural networks with continuously distributed delays (RNNs) are studied.
运用分歧理论，隐函数定理，以及渐近展开的方法，获得了非平凡周期解的存在性。
The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.
证明了具周期系数的边值问题正时间周期解的存在性以及对应初边值问题解的渐近性。
The time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary condition was studied.
首次对广义离散系统的周期解的存在性进行研究，给出了广义离散系统周期解存在的判据。
The existence of periodic solution of singular discrete system is firstly stud - ied and theorem which periodic solutions of singular discrete system exist is given.
本文研究了一类二元离散人工神经网络模型的解的收敛性及周期解的存在性等动力学特征。
This thesis has studied the dynamic features of a class of the discrete-time neural network model of two neurons, such as the convergence and periodicity and etc.
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.
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.
证明了在某些条件下系统是持续的，建立了关于相应周期系统正周期解的存在性与稳定性的条件。
Conditions are established for the existence and the stability of the positive periodic solutions with respect to the corresponding periodic system.
证明了在某些条件下系统是持续的，建立了关于相应周期系统正周期解的存在性与稳定性的条件。
Conditions are established for the existence and the stability of the positive periodic solutions with respect to the corresponding periodic system.
应用推荐