Approximate Solutions of a Functional Differential Equation

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 .

[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.