谭学文, 王刚, 唐三一. 一类由Lambert W函数确定的差分方程的定性分析[J]. 云南大学学报(自然科学版), 2016, 38(3): 351-361. doi: 10.7540/j.ynu.20150601
引用本文: 谭学文, 王刚, 唐三一. 一类由Lambert W函数确定的差分方程的定性分析[J]. 云南大学学报(自然科学版), 2016, 38(3): 351-361. doi: 10.7540/j.ynu.20150601
TAN Xue-wen, WANG Gang, TANG San-yi. Qualitative analysis of a class of difference equations formulated by the Lambert W function[J]. Journal of Yunnan University: Natural Sciences Edition, 2016, 38(3): 351-361. DOI: 10.7540/j.ynu.20150601
Citation: TAN Xue-wen, WANG Gang, TANG San-yi. Qualitative analysis of a class of difference equations formulated by the Lambert W function[J]. Journal of Yunnan University: Natural Sciences Edition, 2016, 38(3): 351-361. DOI: 10.7540/j.ynu.20150601

一类由Lambert W函数确定的差分方程的定性分析

Qualitative analysis of a class of difference equations formulated by the Lambert W function

  • 摘要: 将一类差分方程的解转化为Lambert W函数的不动点进行研究,探讨其正平衡态的存在性条件、局部稳定性条件和全局稳定性条件,并将其应用到药物动力学模型.

     

    Abstract: We investigate the general difference equation determined by the Lambert W function,and obtain the conditions for the existence,local stability and global stability of the equilibrium.Meanwhile,we use them in pharmacokinetics.

     

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