This paper presents two theorems concerning the inhomogeneous differential equation $x'' + c(t) f(x) x' + a(t,x) = e(t)$, where $e(t)$ is a continuous absolutely integrable function. The first theorem gives sufficient conditions when all solutions to this equation are bounded while the second discusses when all solutions are in $L^p [0, \infty )$.
"Bounded and $L^p$-Solutions to a Generalized Lienard Equation with Integrable Forcing Term." Missouri J. Math. Sci. 10 (1) 15 - 19, Winter 1998. https://doi.org/10.35834/1998/1001015