id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-429	Cao, Feng; Gao, Lu	Transition fronts of two species competition lattice systems in random media	2020	24	.pdf	application/pdf	9883	487	86	U(x+ ∫ t 0 c(s;ω, µ)ds, t;ω) = u ( x+ ∫ T 0 c(s; θt−Tω, µ)ds, T ;U(·+ ∫ t−T 0 c(s;ω, µ)ds, t− T ;ω), V (·+ ∫ t−T 0 c(s;ω, µ)ds, t− T ;ω), θt−Tω ) > u∗(t;ω)− 2ε, ∀t ∈ R, x ≤ −N, and hence limx→−∞ U(x+ ∫ t 0 c(s;ω, µ)ds, t;ω) = u∗(t;ω) uniformly in t ∈ R. Sim- ilarly, we can derive limx→−∞ V (x + ∫ t 0 c(s;ω, µ)ds, t;ω) = v∗(t;ω) uniformly in t ∈ R. a2(θtω)− 2c2(θtω)v∗(t;ω) + b2(θtω)v∗(t;ω) for t ∈ R. Under the assumptions (H1)–(H3), one of the most interesting dynamical prob- lems is to study the existence of random transition front (generalized traveling wave) solutions connecting (u∗(t;ω), 0) and (0, v∗(t;ω)) for (1.1).	cache/ejde-429.pdf	txt/ejde-429.txt