On Frechet Derivatives with Application to the Inverse Function Theorem of Ordinary Differential Equations On Frechet Derivatives with Application to the Inverse Function Theorem of Ordinary Differential Equations

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Eziokwu C. Emmanuel

Abstract

In this paper, the Frechet differentiation of functions on Banach space was reviewed. We also investigated that it is algebraic properties and its relation by applying the concept to the inverse function theorem of the ordinary differential equations. To achieve the feat, some important results were considered which finally concluded that the Frechet derivative can extensively be useful in the study of ordinary differential equations.

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