Series de Fourier aplicadas a problemas de cálculo 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...

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Autor Principal: Salazar Solórzano, Lorena
Formato: Artículo
Idioma: Español
Publicado: 2015
Acceso en línea: http://revistas.ucr.ac.cr/index.php/matematica/article/view/112
http://hdl.handle.net/10669/12740
Sumario: 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