可变时滞非自治Logistic方程的全局吸引性

Overall Attractiveness of Variable-delay Non-autonomous Logistic Equation

主要研究一类可变时滞非自治Logistic方程的全局吸引性,通过分别研究非振动解和振动解的性质并使用一定的分析技巧结合不等式的方法,得到了方程的正平衡态为全局吸子的新的充分条件,这些条件便于验证．所得到的结果推广并改进了相关文献中的一些结果,也完善并补充了非自治变时滞Logistic方程的全局吸引性问题的研究工作．

In this paper, we mainly consider the overall attractiveness of a class of variable-delay nonrautonomous Logistic equations. By researching into non-oscillation and oscillation and using un-equality analysis method and other new techniques, we have obtained some sufficient conditions for the positive steady state of the variable-delay non-autonomous Logistic equations having overall attractiveness. The results can extend and improve on the achievements in the concerned literature.