一类非自治变时滞Logistic方程的全局吸引性

Global attractivity for nonautonomous variable delay-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引子的新的充分条件,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.

Consider mainly the global attracivity of a class of the nonautonomous varied delay Logistic equation. By researching nonoscillation and oscillation and using unequality analysis method and some new techniques, some sufficient conditions for the positive steady state of the nonautonomous variable delay - Logistic equation having a global attractor are obtained. These sufficient conditions are convenient to verify. The obtained result extends and improves some related results in the literature, and is also a for nonautonomous variable delay -Logistic equation. supplyment of those results on ies the global attractivity for nonautonomous variable delay -Logistic equation.