【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。更多还原

【Abstract】 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.更多还原