一类时滞微分方程周期解的存在性

Existence of Periodic Solutions for a Class of Differential Equations with Continuous and Discrete Delays

运用重合度理论中的延拓定理得到一类具有连续时滞和离散时滞的微分方程周期解存在的判别准则,并用1个实例来验证其应用性.该准则推广了已知的结果,具有较好的应用性.

By using the continuity theorem in coincidence degree theory, we obtain the criteria of the existence of the periodic solution for a class of differential equations with continuous and discrete delays, and verify its application by an example. The criteria generals some results obtained and has better application.