Abstract
© 2017 Elsevier Ltd In the present paper we study periodic solutions and their stability of the m-order differential equations of the form x(m)+fn(x)=μh(t),where the integers m, n ≥ 2, fn(x)=δxn or δ|x|n with δ=±1, h(t) is a continuous T-periodic function of non-zero average, and μ is a positive small parameter. By using the averaging theory, we will give the existence of T-periodic solutions. Moreover, the instability and the linear stability of these periodic solutions will be obtained.
Original language | English |
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Pages (from-to) | 285-288 |
Journal | Chaos, Solitons and Fractals |
Volume | 106 |
DOIs | |
Publication status | Published - 1 Jan 2018 |
Keywords
- Averaging theory
- Periodic solution
- Stability
- m-Order differential equations