一类单稳时滞格微分方程行波解的渐近行为及唯一性

摘要

The traveling wave solution for a class of monostable delayed lattice differential equations with non-local diffusion and non-local interaction were studied. The exact asymptotic behavior of the wave profiles asξ→±∞ was established. Also, it was proved that all the traveling wave solutions were strictly monotone and unique up to translations.%研究一类具有非局部扩散及非局部相互作用的单稳时滞格微分方程的行波解.建立行波解在正、负无穷远处的精确的渐近行为,并证明所有的行波解都是严格单调的且在平移不变的意义下是唯一的.