%0 Journal Article
%T 时间周期双稳型反应扩散方程解的长时间行为<br>Long-Time Behavior of Solutions to the Time-Periodic Bistable Reaction-Diffusion Equation
%A 陈卓
%J Pure Mathematics
%P 122-129
%@ 2160-7605
%D 2024
%I Hans Publishing
%R 10.12677/pm.2024.145168
%X 本文研究以下一类时间周期反应扩散方程ut=uxxuxf(t,u),？x∈R,？t&gt;0.的解的长时间渐近行为，其中，f(t,u)是满足双稳型条件且<i>t</i>具有周期性。将通过引入辅助函数，构造适当的上下解，再运用比较原理，可以得到方程解在无穷远处的性质。 <br />
This paper focuses on a class of time-periodic reaction-diffusion equationsut=uxxuxf(t,u),？x∈R,？t&gt;0.of solutions with long time asymptotic behaviour, wheref(t,u)satisfies the bistable condition and <i>t</i> is periodic. The properties of the solutions of the equation at infinity will be obtained by introducing auxiliary functions, constructing appropriate upper and lower solutions, and then applying the comparison principle.
%K 时间周期，长时间渐近行为，比较原理<br>Time-Periodic
%K Long Time Asymptotic Behaviour
%K Comparison Principle
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=87314