time-asymptotic behavior 时间渐进行为
and asymptotic behavior 及其渐近性态
weak asymptotic behavior 弱渐近估计
global asymptotic behavior 全局渐近性态
weakly asymptotic behavior 弱渐近性
Asymptotic behavior of solution 解的渐近行为
asymptotic behavior of solutions 解的渐近性
existence and asymptotic behavior 存在性和渐近性态
The aim of this work is to construct some mathematical diffusion models about competitive products in the market, to analyze the asymptotic behavior of these models and to study the effect of advertisement on the competitive products.
本文的主要目的是建立几个产品-扩散模型并研究这些模型的渐近性态以及广告在产品竞争中的作用。
参考来源 - 产品——扩散模型的稳定性分析Furthermore, we obtain the asymptotic behavior of blow-up solution.
在一定的假设下得到了非负解的整体存在性与有限时刻爆破条件，并进一步精确地给出了爆破解的渐近行为。
参考来源 - 关于三类抛物方程解的研究Finally, The existence ,uniqueness , regularity and asymptotic behavior of solutions and obtained by apply the abstract results to discuss concrete initial boundary value problems for strongly damped wave equations.
最后，我们应用上面抽象结果讨论了具体的强阻尼波方程初边值问题，从而获得了该问题解的存在性，唯一性，正则性与渐近性质。
参考来源 - 抽象强阻尼波方程解的存在性，正则性与渐近性However, there exist some errors in the present literature in treating asymptotic behavior of Jost solutions at the origin, yielding incorrectness in continuous spectrum despite the fact that they cause no errors in discrete spectrum and soliton solutions.
但目前文献中对趋于原点的渐近行为的处理有不妥之处。
参考来源 - 非线性薛定谔方程的暗孤子传输·2,447,543篇论文数据，部分数据来源于NoteExpress
The location of turning point and the asymptotic behavior of solution are studied.
研究了转向点的所处位置，以及问题解的渐近性态。
The asymptotic behavior for Complex Ginzburg-Landau equation with delay is discussed.
讨论了具有时滞的复金兹堡-朗道方程的渐进性态。
The asymptotic behavior of the drift diffusion model for semiconductor devices is studied.
研究半导体器件的漂移-扩散模型方程解的渐近性。
应用推荐