关于方程+RF′(x)+1/LF(x)=p(t)的周期解

The harmonic solution of differential equation: +RF′(x)+1/LF(x)=p(t)

利用了Mawhin[2 ] 提出的延拓定理 。

Consider differential equation +RF′(x)+1LF(x)=p(t)(1) where R,L are positive constants,F(x)∈C′(R),p(t) is a periodic function with period T.The existence of harmonic solution of system (1) is obtained by means of continuation theorem established by Mawhin.