Boundedness and convergence of solutions of Duffing’s equation
- 1 May 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 66, 151-166
- https://doi.org/10.1017/s0027763000017785
Abstract
In this paper, we shall discuss boundedness of solutions of the equationunder suitable conditions. And we shall discuss asymptotic stability of a periodic solution and convergence of solutions for the equationfor a positive constant cand a periodic function e(t)under some restricted conditions.Keywords
This publication has 2 references indexed in Scilit:
- Transformation theory as applied to the solutions of non-linear differential equations of the second orderInternational Journal of Non-Linear Mechanics, 1969
- Boundedness and convergence of solutions of x''+cx'+g(x)=e(t)Duke Mathematical Journal, 1957