Positive periodic solutions of periodic neutral Lotka-Volterra system with state dependent delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:330

Article

Li, Yongkun

关键词: positive periodic solution;    neutral functional differential equation;    Lotka-Volterra system;    k-set contraction;   

DOI  :  10.1016/j.jmaa.2006.08.063

来源: Elsevier

【 摘 要 】

By using a fixed point theorem of strict-set-contraction, some new criteria are established for the existence of positive periodic solutions of the following periodic neutral Lotka-Volterra system with state dependent delays dx(i)(t)/dt = x(i)(t)[r(i)(t) - Sigma(n)(j=1)aij(t)x(j)(t) - Sigma(n)(j=1)bij(t)x(j)(t - tau(ij)(t, x(1)(t),..., x(n)(t))) -Sigma(n)(j=1)c(ij)(t)x'(j)(t - sigma(ij)(t, x(1)(t, x(1)(t), ..., x(n)(t)))], i = 1, 2, ...,n, where r(i), a(ij), b(ij), c(ij) is an element of C(R, R+) (i, j = 1, 2,..., n) are omega-periodic functions and tau(ij), sigma(ij) is an element of C(Rn+1, R) (i = 1, 2,..., n) are omega-periodic functions with respect to their first arguments, respectively. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free