In this paper, we study mainly positive periodic solution to singular equations.
在这篇文章中，我们主要研究奇异方程的正周期解问题。
Auto power spectrum of the periodic and quasi-periodic solution has been obtained.
得到了周期解和准周期解的自相关功率谱线。
When the period is more than the critical value, the periodic solution loses its stability.
当投放周期大于某个临界值时，这个周期解失去稳定性。
The periodic solution can be bifurcated from equilibrium point with the variation of parameters.
系统随着参数的变化，从平衡点分岔出周期解。
This paper discusses the exponential stability of periodic solution for impulsive neural networks.
本文讨论了一类脉冲神经网络的周期解的指数稳定性。
This paper discusses the problem of periodic solution of singular differential equation with delay.
本文讨论退化时滞微分方程的周期解问题。
Further, the existence of a nontrivial periodic solution is considered by using bifurcation theory.
利用分支理论分析了非平凡周期解的存在性。
The space periodic solution and chaos of a class of infectious disease model are discussed in this paper.
本文讨论一类传染病模型的空间周期解及混沌问题。
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。
The existent condition of the periodic solution under the certain limitation of the parameters has been shown.
指出了在对某些参数限制下周期解存在的条件。
The equilibrium solution, the periodic solution and chaotic solution of averaging equations are examined in this paper.
本文对平均方程的稳态解、周期解以及混沌解进行了研究。
The system of nonlinear algebraic equations is solved by using the continuation method and its periodic solution is obtained.
用延续算法对该代数方程组进行求解，得到系统的周期解。系统周期解的初始值通过时域数值积分得到。
The time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary condition was studied.
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。
In case the coefficients are periodic, we give some sufficient conditions for the existence and uniqueness of asymptotic periodic solution.
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。
The second example is the asymptotic periodic solution and the dispersion relation of weakly non-linear waves in a self-gravitating medium.
第二个实例是自引力介质中弱非线性波的渐近周期解及色散关系。
By suing coincide degree theory, this paper discusses the existence of periodic solution for a kind of differential equation with several delays.
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。
We use some elementary methods to demonstrate the existence of a periodic solution for a considerably larger parameter set than considered earlier.
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。
Firstly sufficient conditions for the existence of periodic solution are obtained by comparison theory of reaction-diffusion differential equations;
利用反应扩散方程的比较原理给出了系统存在周期解的充分条件。
This paper by use of perturbation method found asymptotic periodic solution of piston stroke, and found rational periodic for periodic external force.
本文用摄动方法求得了活塞行程的渐近周期解，且为周期性外力求出合理的周期。
The effect of each parameter on existence of the periodic solution is discussed by analyzing the dynamical properties of the solutions of the equation.
通过对方程解的动力学性质分析，讨论了各个参数对方程解的定性性质影响。
By using a well-known fixed point index theorem, we obtain the existence, multiplicity and nonexistence of positive periodic solution(s) to this equation.
利用一个著名的不动点指标定理，获得了该方程周期正解的存在性、多重性和不存在性。
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。
The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion.
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。
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.
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。
In this paper, the periodic solution of sinusoidal PPL equation for FW inputs has been discussed with the traditional qualitative method and Lyapunov functions.
本文用传统的定性方法和函数方法讨论了调频输入的正弦锁相环路方程的周期解。
The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.
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 periodic solution of singular discrete system is firstly stud - ied and theorem which periodic solutions of singular discrete system exist is given.
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。
A numeric method evaluating stability degree of periodic solution based on perturbing response data is introduced by the aid of the concept of dynamic systems or flows.
从动力系统流的概念出发，给出了系统稳态周期解稳定度的数值计算方法。
Furthermore, as some special situations for our studied system (1), the corresponding sufficient conditions for the existence of periodic solution are obtained respectively.
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。
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.
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。
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