Anyone knows how to solve the periodic boundary problems?
Suppose I have ODEs
Initial values: v(0)=a, p(0)=0
1. v'[t]=a*v[t], p'[t]=a*v[t]-b*p[t] (0<t<1/2T)
2. v'[t]=-c*p, p'[t]=-(c+b)*p[t] (1/2T<t<T)
Here, a, b, and c are constants.
After n period (T is the period), can I get a solution for v[t] and p[t]?