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))dt by 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 \inf...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universidad de Costa Rica
2012-03-01
|
| Series: | Revista de Matemática: Teoría y Aplicaciones |
| Subjects: | |
| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/112 |
| 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))dt
by 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 |
|---|---|
| ISSN: | 2215-3373 |