Periodic solutions for neutral nonlinear difference equations with functional delay
| Autor: | Soualhia Imene, Ardjouni Abdelouaheb, Djoudi Ahcene |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Mathematica Moravica, Vol 20, Iss 1, Pp 17-29 (2016) |
| Druh dokumentu: | article |
| ISSN: | 1450-5932 2560-5542 |
| Popis: | We use a variant of Krasnoselskii's fixed point theorem to show that the nonlinear difference equation with functional delay Δx (t) = - a (t) g (x (t)) + c (t)Δx(t_τ(t)) + q (t, x(t), x(t_τ(t))), has periodic solutions. For that end, we invert this equation to construct a fixed point mapping written as a sum of a completely continuous map and a large contraction which is suitable for the application of Krasnoselskii-Burton's theorem. |
| Databáze: | Directory of Open Access Journals |
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