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math.CA2007
Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities
Hongbin Chen, Yi Li
We study the stability and exact multiplicity of periodic solutions of the Duffing equation with cubic nonlinearities. We obtain sharp bounds for h such that the equation has exact…
math.CA2007
Rate of Decay of Stable Periodic Solutions of Duffing Equations
Hongbin Chen, Yi Li
In this paper, we consider the second-order equations of Duffing type. Bounds for the derivative of the restoring force are given that ensure the existence and uniqueness of a peri…