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| Title: | Solvability of a recursive functional equation in the sequence Banach space ɭ² |
| Authors: | Caballero, J. Harjani, J. López, B. Sadarangani, k. |
| Keywords: | Ecuaciones funcionales recursivas;Espacio de secuencias de Banach;Teorema del punto fijo;Recursive functional equations;Banach sequence space;Fixed-point theorem |
| Issue Date: | 2007 |
| Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
| Abstract: | The main aim of this paper is to study the existence of solutions of the following recursive functional equation 𝓍(𝓃) = 𝑓(𝓃, 𝓍(𝓃), 𝓍(𝓃 − 1)) in the space ɭ², under general assumptions. The main tools of our existence theorem are the characterization of the relatively compact sets in the space ɭ² and Schauder Fixed point theorem. Moreover, our functional equation has as particular cases some integral equations of Urysohn type. Finally, we present some examples where our theorem can be applied. |
| URI: | http://hdl.handle.net/10662/15640 |
| ISSN: | 0213-8743 |
| Appears in Collections: | Extracta Mathematicae Vol. 22, nº 2 (2007) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_22_2_147.pdf | 146,45 kB | Adobe PDF | View/Open |
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