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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 ...
Scientific Research Publishing

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

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 ...
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 ...
IEEE

Mixed constraints in optimal control: an implicit function theorem approach

Abstract: This paper concerns a derivation of second-order necessary conditions for a fixed-endpoint control problem of Lagrange involving mixed equality and/or inequality constraints, posed over ...
Scientific Research Publishing

Magnus, R. (1974) The Implicit Function Theorem and Multi Bump Solutions of periodic Partial Differential Equation. Proceedings of the Royal Society of Edinburgh Section A ...

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 ...