Positive periodic solutions of neutral logistic equations with distributed delays
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Date
2007-01-08
Authors
Li, Yongkun
Wang, Guoqiao
Wang, Huimei
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Positive periodic solution, Neutral delay logistic equation, Strict-set-contraction
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.
Rights
Attribution 4.0 International