摘要
对一类满足拟单调条件的反应扩散方程组,用单调上下解方法证明了周期解的渐近性质,推广了S.Ahmad等人的结果[1]。最后给出了定理的应用。
Using the monoton convergence method, we have discussed the existence and asymptotic be- haviours of periodic solutions for a class of reaction--diffusion systems with quasi--monotone con- ditions and generalized the results of the paper [1] . Finally,we also have applied the theorem to the following first periodic boundary value problem u_t--△u=λ_1u^(p_1)[a(x,t)-b(x,t)u+c(x,t)v)] v_t--△v=λ_2v^(p_2)[d(x,t)+e(x,t)u-f(x,t)v)]
出处
《河南科学》
1993年第2期155-159,共5页
Henan Science
关键词
反应扩散
方程组
周期解
渐近性质
Reactin-diffusion systems
Periodic solution
Asymptotic behaviour
