渐近概周期Logistic方程解的存在唯一性及其性态

Existence and Uniqueness of Asymptotic Almost Periodicity of Logistic Equation and the chacrachter of the Solution

研究了 Logistic 方程 dx(t)/dt=r(t)x(t)[1-x(t)/k(t)],扩大了方程中系数r(t),k(t)的范围(由周期函数与概周期函数扩大到渐近概周期函数),得到了此方程渐近概周期解的存在唯一性的充分条件,在此基础上讨论了解的吸引性与稳定性。

The work deals with the existence and uniqueness of asymptotic almost periodic solution of Logistic equation where are asymptotic almost periodic functions and sufficient conditions are obtained for the existence and uniqueness of the asymptotic almost periodic solution of this equation in the case of enlarging the scope of the coefficients (enlarged to asymptotic almost periodic functions ).Base on this the stability,attractability of the solution is discussed