| dc.creator | Burton, T. A. | |
| dc.creator | Zhang, Bo | |
| dc.date | 2012-03-01 | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1354 | |
| dc.identifier | 10.4067/S0719-06462012000100006 | |
| dc.description | In this paper we introduce a new method for obtaining boundedness of solutions of integral equations. From the integral equation we form an integrodifferential equation by computing xˊ + kx to which we apply a Liapunov functional. This can be far more effective than the usual technique of differentiating the equation. The qualitative properties derived from that equation are then transferred to a majorizing function for the integral equation. Schaefer’s fixed point theorem is used to conclude that there is a periodic solution. Three kinds of integral equations are studied and they are shown to be related through two examples. | 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/1354/1209 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal; 55–79 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 14 Núm. 1 (2012): CUBO, A Mathematical Journal; 55–79 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Integral Equations | en-US |
| dc.subject | Boundedness | en-US |
| dc.subject | Periodic Solutions | en-US |
| dc.subject | Liapunov Functions | en-US |
| dc.title | Bounded and periodic solutions of integral equations | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
