Abstract
Very recently, He’s frequency-amplitude formulation approach became one of the most straightforward methods to obtain analytical approximate periodic solutions for nonlinear oscillatory systems. This approach is proposed in this research to investigate a generalized nonlinear oscillator equation, given by,
u
″
+
Ω
u
p
+
λ
u
q
μ
+
σ
u
r
=
0
. Various results of the previous studies are obtained from our generalized frequency-amplitude
(
ω
-
A
)
relationship as special cases.