Positive periodic solutions of neutral logistic equations with distributed delays
| dc.contributor.author | Li, Yongkun | |
| dc.contributor.author | Wang, Guoqiao | |
| dc.contributor.author | Wang, Huimei | |
| dc.date.accessioned | 2021-08-02T20:28:04Z | |
| dc.date.available | 2021-08-02T20:28:04Z | |
| dc.date.issued | 2007-01-08 | |
| dc.description.abstract | Using a fixed point theorem of strict-set-contraction, we establish criteria for the existence of positive periodic solutions for the periodic neutral logistic equation, with distributed delays, x′(t) = x(t)[α(t) - ∑ni=1 αi(t) ∫0-Ti x(t+θ) dμi(θ) = ∑mj=1bj(t) ∫0-T̂j x′(t+θ) dvj(θ)], where the coefficients α, αi, bj are continuous and periodic functions, with the same period. The values Ti, T̂j are positive, and the functions μi, vj are non-decreasing with ∫0-Ti dμi = 1 and ∫0-T̂i dvj = 1. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Li, Y., Wang, G., & Wang, H. (2007). Positive periodic solutions of neutral logistic equations with distributed delays. <i>Electronic Journal of Differential Equations, 2007</i>(13), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14163 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Positive periodic solution | |
| dc.subject | Neutral delay logistic equation | |
| dc.subject | Strict-set-contraction | |
| dc.title | Positive periodic solutions of neutral logistic equations with distributed delays | |
| dc.type | Article |