Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
Series de Fourier aplicadas a problemas de cálculo de variaciones con retardo
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How to Cite

Salazar Solórzano, L. (1995). Series de Fourier aplicadas a problemas de cálculo de variaciones con retardo. Revista De Matemática: Teoría Y Aplicaciones, 2(1), 57–68. https://doi.org/10.15517/rmta.v2i1.112

Abstract

In this article we present an approximation of the minimizing function of the functional

J [X ] = ∫T0 F (t, X(t), X(t − τ), Ẋ(t)) dt

by approximating X(t) with Cosine Fourier series expansions Xn(t). We give conditions under which

J [Xn(t)] → J [X(t)] cuando n → ∞.

https://doi.org/10.15517/rmta.v2i1.112
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