Scientific Research Publishing

A Study of Periodic Solution of a Duffing’s Equation Using Implicit Function Theorem ()

1 Department of Mathematics, Michael Okpara University of Agriculture, Umuahia, Nigeria. 2 Department of Industrial Mathematics and Statistics, Ebonyi State University, Abakaliki, Nigeria. where a, b, ...
Risk

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 ...
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

The implicit function theorem revisited

Abstract: This paper is a survey of some results on Newton's method as applied to the implicit function theorem, homotopy methods, and Bezout's theorem. An application to macroeconomics is also ...
Scientific Research Publishing

Kreici, P. (1984) Hard Implicit Function Theorem and Small Periodic Solutions to Partial ...

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 ...
Risk

Adjoint algorithmic differentiation: calibration and implicit function theorem

Adjoint algorithmic differentiation is an efficient way to obtain financial instrument price derivatives with respect to the data inputs. Often the differentiation does not cover the full pricing ...