Banach空间中二阶时滞微分方程的单调迭代技巧

The Monotone Iterative Technique of the Second Order Differential Equation with Multiple Delays in Banach Space

借助Banach空间中二阶线性微分方程的周期解的存在性与唯一性定理,运用上下解的单调迭代技巧,讨论了有序Banach空间中二阶多时滞微分方程的ω-周期解的存在性与唯一性.所得的结果推广了常微分方程的有关结论.

With the existence and uniqueness of periodic solutions for the second-order linear differential equation in Banach spaces E,the existence and uniqueness ofω-periodic solutions for the second-order differential equation with multiple delays in Banach spaces Eare discussed by using the monotone iterative technique in presence of upper and lower solutions.The relevant results of ordinary differential equations are extended.