I'm stuck on the following problem: a harmonic oscillator with forcing term is described by the following equation:
$$\ddot x(t)+\omega^2 x(t)=A(t)\cos(\omega t)$$ where $A(t)$ is a random function with pdf:
$$pdf [A(t)]=\dfrac{k}{\lambda}\left(\dfrac{t}{\lambda}\right)^{k-1}\exp\left(-\dfrac{t}{\lambda}\right)^k$$
with $k\in\mathbb{R}$, $\lambda\in\mathbb{R}$ and $k\gt 0$, $\lambda\gt 0$ (Weibull distribution pdf). Is it still possible to speak of forced oscillation? Thank you.