| dc.creator | Leiva, Hugo | |
| dc.creator | Matute, Jesús | |
| dc.creator | Merentes, Nelson | |
| dc.creator | Sánchez, José | |
| dc.date | 2015-06-01 | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1176 | |
| dc.identifier | 10.4067/S0719-06462015000200004 | |
| dc.description | In this paper we prove existence and uniqueness of the solutions for a kind of Volterra equation, with an initial condition, in the space of the continuous functions with bounded variation which take values in an arbitrary Banach space. Then we give a parameters variation formula for the solutions of certain kind of linear integral equation. Finally, we prove exact controllability of a particular integral equation using that formula. Moreover, under certain condition, we find a formula for a control steering of a type of system which is studied in the current work, from an initial state to a final one in a prescribed time. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1176/1034 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal; 49-71 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 17 Núm. 2 (2015): CUBO, A Mathematical Journal; 49-71 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Existence and uniqueness of solutions of integral equations in Banach spaces | en-US |
| dc.subject | continuous functions | en-US |
| dc.subject | bounded variation norm | en-US |
| dc.subject | parameters variation formula | en-US |
| dc.subject | controllability | en-US |
| dc.title | On a type of Volterra integral equation in the space of continuous functions with bounded variation valued in Banach spaces | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
