A sufficient condition for the existence of periodic solution for a reaction diffusion equation with infinite delay

作者：Tang YB^*; Zhou L

来源：Applied Mathematics and Computation, 2004, 148(2): 453-460.

DOI：10.1016/S0096-3003(02)00860-3

• reaction diffusion equation
• periodic solution
• existence
• asymptotic behavior
• delay

For a periodic reaction diffusion equation with infinite delay, a sufficient condition of existence and uniqueness of periodic solution is given. By using the periodic monotone method, the asymptotic behavior of the time-dependent solutions is investigated, that is, the time-dependent solutions converge to the corresponding periodic solution in the time variable.

• 出版日期2004-1-26
• 单位华中科技大学