A remark on the application of coincidence degree to periodicity of dynamic equations on time scales;
关于应用重合度研究时标动力学方程周期解的注记
A prey-predator system model with sexual preference are discussed by means of a continuous theorem of coincidence degree theory,a sufficient condition for existence of periodic solution is given out.
利用重合度理论中的延拓定理,讨论了一个具有性别偏食的周期食饵捕食系统,给出了周期解存在的充分条件,并且得到了具有性别偏食的自治的食饵捕食系统周期解存在的充分条件。
By using a continuation theorem based on coincidence degree theory,the globally asymptotically stability of the positive periodic solution is proved.
考虑一类具有 L ogistic增长的 SIS非自治流行病模型 ,利用重合度理论证明了周期解的存在性 ,并通过构造 L iypunov函数证明了周期解的全局渐近稳定性。
Based on the mathematical models of the cosine gear drive,the calculation approach of the contact ratio of the drive was deduced,and the influences of related design parameters on the contact ratio were discussed.
推导了余弦齿轮传动的重合度计算公式,进一步讨论了余弦齿轮传动重合度随齿数、模数、分度圆压力角等参数的变化规律,并与渐开线齿轮传动进行了对比。
Definition of contact ratio of paired gears generated with sinusoidal rack and its calculation formula were given,and the effect of related design parameters on the contact ratio was also discussed.
提出正弦齿条所生成的齿轮副的重合度定义及其计算式,并且讨论有关设计参数对于重合度的影响效果。
By analysing system vibration, it is found that gear dynamic load is related to contact ratio, and amplitude of sun-planet mesh force is less than that of ring-planet without damp.
建立了单级2K-H渐开线行星齿轮传动的集中质量参数型振动模型,将齿轮啮合的刚度近似等效成时变分段线性的弹簧刚度 分析了系统因时变啮合刚度激励而引起的稳态振动 得出了在2K-H渐开线行星齿轮的传动中,齿轮的动载荷与齿轮间的重合度相关;在无阻尼状态下太阳轮-行星轮的动态啮合力小于行星轮-内齿圈的啮合
Consider the periodically perturbed systems of Liénard type x (t ) dgradF (x ) gradG( x (t )) p( t ) + dt + ? τ= , By using conincidence degree theory, existence and uniqueness of periodic solutions are studied and some new effetive results are obtained.
考虑具有周期扰动的Liénard型微分系统(t)+(d/dt)gradF(x)+gradG(x(t-τ))=p(t),利用重合度理论讨论周期解的存在性与唯一性,得到了几个简便的判别条件。
By using conincidence degree theory, we consider existence and uniqueness of periodic solutions of the periodically perturbed Liénard systems.
利用重合度理论讨论了具有周期扰动的n维Liénard型微分系统的周期解的存在性与唯一性,得到了几个简便的判别条件,推广和延伸了相应文献中的结论。
This paper discusses the nonautonomous time-delay cooperative system with stage structure, and establishes sufficient conditions for the existence of periodic solution of the system by employing the new theorem in the coincidence theory.
讨论具有阶段结构的非自治时滞合作系统 ,利用重合度理论中新的定理 ,给出了该系统正周期解存在性的充分条
By using the coincidence theory,this paper studies a neutral delay logarithmic population medel to which is obtained some sufficient conditinos for at least a positive periodic solution.
本文研究中立型对数种群模型 用重合度理论，获得了至少存在一个周期正解的充分条件。