关于带周期系数的Bernoulli方程及其较好的离散模型

On Bernoulli Equation with Periodic Coefficients and Its "Best" Discrete Model

带有周期系数的Bernoulli微分方程解的存在性、唯一性和全局渐近稳定性被考虑,被获得的结果也适合它的特殊情况Logistic模型.同时,也给出了一个比较好的离散形式,它完全遗传了连续模型的性质.

The existence, the uniqueness, and the global asymptotically stable of the Bernoulli equation with periodic coefficients will be considered in this note. The obtained resuh clearly holds for the Logistic equation because it is the sepcial case of the Bernoulli equation. At the same time, a ＂best＂ Bernoulli discrete model is considered and the dynamics behavior of the corresponding diffierential equation will be inherited.