© 2018 Elsevier Ltd We provide sufficient conditions for the existence and stability properties of periodic solutions of the second-order non-autonomous differential equation of the Nathanson's model ẍ+x+aẋ−[Formula presented]=0,and of the Comb-drive model ẍ+x+aẋ−[Formula presented]=0,where x∈R, a, b, v0, δ are positive parameters and v(ωt) is a 2π∕ω-periodic function. The results are obtained using the averaging theory and the lower and upper solution method.
- Averaging theory
- Comb-drive model
- Lower and upper solution method
- Nathanson's model
- Periodic solution
- Second-order differential equation