# Approximate Solutions of a Functional Differential Equation

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration shows Fourier approximations of the solution of the functional differential equation of advanced type, , where and the support of is . The Fourier approximation is .

Contributed by: Oleg Kravchenko (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

ReferencesÃ¢ÂÂ¨

[1] V. M. Kolodyazhny and V. A. Rvachov, "Atomic Functions: Generalization to the Multivariable Case and Promising Applications," *Cybernetics and Systems Analysis*, 43(6), 2007 pp. 893–911.

[2] V. F. Kravchenko, H. Perez-Meana, and V. I. Ponomaryov, *Adaptive Digital Processing of Multidimensional Signals with Applications, *Moscow: Fizmatlit, 2009.

[3] E. Nakai and T. Yoneda, "Construction of Solutions for the Initial Value Problem of a Functional-Differential Equation of Advanced Type," *Aequationes **Mathematica*e, 77(3), 2009 pp. 259–272.

## Permanent Citation

"Approximate Solutions of a Functional Differential Equation"

http://demonstrations.wolfram.com/ApproximateSolutionsOfAFunctionalDifferentialEquation/

Wolfram Demonstrations Project

Published: March 7 2011