一类反应扩散方程波前解的存在性

Existence of Front Waves in a Reaction-Diffusion Equation

中文关键词:  反应扩散方程  行波解  波前解的存在性.

英文关键词:reaction-diffusion equations  travelling wave solutions  the existence of front wave solutions.

中文摘要:

      本文讨论一类反应扩散方程满足各种条件的单调波前解及振荡波前解的存在性; 得到了一系列保证波前解存在的充分条件.

英文摘要:

      In the paper, we study the monotone and oscillatory front wave solutions in a set of reaction-diffusion equations and obtain some sufficient conditions which guarantee the existence of the front wave solutions.