Article citationsMore>>

Kreici, P. (1984) Hard Implicit Function Theorem and Small Periodic Solutions to Partial Differential Equations. Commentationes Mathematicae Universitatis Carolinae, 25, 519-536.

has been cited by the following article:

• TITLE: A Study of Periodic Solution of a Duffing’s Equation Using Implicit Function Theorem

  AUTHORS: E. O. Eze, J. N. Ezeora, U. E. Obasi

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

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.8 No.10, October 22, 2018

  ABSTRACT: 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.