Approximate Solutions of a Functional Differential Equation

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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
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Details
Referencesâ¨
[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 Mathematicae, 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