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Automatic implicit function theorem

Dmitri Goloubentsev, Evgeny Lakshtanov and Vladimir Piterbarg explain in mathematical terms, and demonstrate using a simple example, how the automatic implicit function theorem, a special version of ...
JSTOR Daily

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

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 ...
IEEE

Implicit Function Theorem for Nonlinear Time-Delay Systems With Algebraic Constraints

Abstract: In this note, we discuss a generalization of the well-known implicit function theorem to the time-delay case. We show that the latter problem is closely related to the bicausal changes of ...
JSTOR Daily

An Implicit Function Theorem without Differentiability

We combine a "global" version of the classical inverse function theorem with Schauder's fixed point theorem to investigate the existence and continuity properties of a function $(F, x) \rightarrow ...