The connection between the implicit function theorem and the existence theorem for differential equations


Iulian Coroian


Abstract

carpathian_2004_20_007_014_abstract

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carpathian_2004_20_007_014

The paper presents a variant of implicit function theorem, as a corollary of existence theorem for solutions of a first order system of partial differential equations. This results is then extend to the case of implicit function theorem for functions of several independent variables.

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Author(s)

Coroian, Iulian