高维格上时滞反应扩散方程的行波解

TRAVELING WAVEFRONTS IN SYSTEMS OF DELAYED REACTION DIFFUSION EQUATIONS ON HIGHER DIMENSIONAL LATTICES

本文利用Schauder不动点定理和上、下解技术,研究了高维格上时滞反应扩散方程组当非线性项满足拟单调条件、指数拟单调条件、部分拟单调条件以及部分指数拟单调条件时行波解的存在性.

The existence of traveling wavefronts in systems of spatially discrete reaction diffusion equations with delay on higher dimensional lattices is established by Schauder fixed point theorem and upper-lower solutions technique. The cases of quasimonotonicity nonlinear terms, weaken exponential quasimonotonicity one, partial quasimonotonicity one and partial weaken exponential quasimonotonicity one are considered.