摘要
本文将单调方法用于一类含时滞的反映扩散方程,证明了周期解和概周期解的存在性与唯一性。
The existence and uniqueness of periodic solution and almost periodic solution for a class of reaction-diffusion system with time lag are proved. This is no doubt a generalization of some corresponding results in functional differential equation. The existence is obtained under general conditions and the uniqueness is proved if the ratio between the Lipschitz constant K of nonlinear delay term and the interval of variation of variable x is relatively small. The modified monotone method and Schander fixed point theorem are used. It is considered to be more convenient and flexible in application than the conventional one.
出处
《华中理工大学学报》
CSCD
北大核心
1989年第2期129-134,共6页
Journal of Huazhong University of Science and Technology
关键词
反映扩散方程
周期解
概周期解
Reaction-diffusion equation
Upper solution
Lower solution
Periodic solution
Almost periodic solution
