Series de Fourier aplicadas a problemas de c?lculo de variaciones con retardo

In this article we present an approximation of the minimizing function of the functional??? J[x]=\int_0^T F(t,X(t),X(t-\tau),\dot{X}(t))dtby approximating X(t) with Cosine Fourier series expansions X_n(t). We give conditions under which??? J[X_n(t)]\longrightarrow J[X(t)] cuando n\rightarrow \infty

Main Author: Salazar Sol?rzano, Lorena
Format: Artículo
Language: Español
Published: 2015
Online Access: http://revistas.ucr.ac.cr/index.php/matematica/article/view/112
http://hdl.handle.net/10669/12740
Summary: In this article we present an approximation of the minimizing function of the functional??? J[x]=\int_0^T F(t,X(t),X(t-\tau),\dot{X}(t))dtby approximating X(t) with Cosine Fourier series expansions X_n(t). We give conditions under which??? J[X_n(t)]\longrightarrow J[X(t)] cuando n\rightarrow \infty