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Chow, S.N. and Lasota, A. (1972) An Implicit Function Theorem for Non-Differentiable Mappings. Proceedings of the American Mathematical Society, 34, 141-146.
https://doi.org/10.1090/S0002-9939-1972-0291527-7

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.