Positive periodic solutions of a neutral functional differential equation with multiple delays
| Autor: | Yongxiang Li, Ailan Liu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Mathematica Bohemica, Vol 143, Iss 1, Pp 11-24 (2018) |
| Druh dokumentu: | article |
| ISSN: | 0862-7959 2464-7136 |
| DOI: | 10.21136/MB.2017.0050-16 |
| Popis: | This paper deals with the existence of positive $ømega$-periodic solutions for the neutral functional differential equation with multiple delays (u(t)-cu(t-\delta))'+a(t) u(t)=f(t, u(t-\tau_1), \cdots, u(t-\tau_n)). The essential inequality conditions on the existence of positive periodic solutions are obtained. These inequality conditions concern with the relations of $c$ and the coefficient function $a(t)$, and the nonlinearity $f(t, x_1,\cdots, x_n)$. Our discussion is based on the perturbation method of positive operator and fixed point index theory in cones. |
| Databáze: | Directory of Open Access Journals |
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