Existence of positive periodic solutions for third-order nonlinear delay differential equations with variable coefficients
| Autor: | Ardjouni Abdelouaheb, Djoudi Ahcene |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Mathematica Moravica, Vol 23, Iss 2, Pp 17-28 (2019) |
| Druh dokumentu: | article |
| ISSN: | 1450-5932 2560-5542 |
| Popis: | In this paper, the following third-order nonlinear delay differential equation with periodic coefficients x'''(t) + p(t)x''(t) + q(t)x'(t) + r(t)x(t) = f(t,x(t), x(t - t (t))) + d/dt g (t, x(t - t (t))), is considered. By employing Green's function and Krasnoselskii's fixed point theorem, we state and prove the existence of positive periodic solutions to the third-order nonlinear delay differential equation. |
| Databáze: | Directory of Open Access Journals |
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