Author(s)

E. O. Eze¹, J. N. Ezeora², U. E. Obasi¹

¹Department of Mathematics, Michael Okpara University of Agriculture, Umuahia, Nigeria.
²Department of Industrial Mathematics and Statistics, Ebonyi State University, Abakaliki, Nigeria.

In this paper, the well known implicit function theorem was applied to study existence and uniqueness of periodic solution of Duffing-type equation. Un-der appropriate conditions around the origin, a unique periodic solution was obtained.

Implicit Function Theorem, Periodic Solution, Duffing Equation, Banach Spaces

Eze, E. , Ezeora, J. and Obasi, U. (2018) A Study of Periodic Solution of a Duffing’s Equation Using Implicit Function Theorem. Open Journal of Applied Sciences, 8, 459-464. doi: 10.4236/ojapps.2018.810036.