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摘要
Consider the following system of delay differential equations {x(1)'(t) = -F(x(1)(t)) + G(x(2)(t - r(2))), x(2)'(t) = -F(x(2)(t)) + G(x(3)(t - r(3))), x(3)'(t) = -F(x(3)(t)) + G(x(1)(t - r(1))), where r(1), r(2) and r(3) are positive constants, F, G is an element of C(R(1)), and F is nondecreasing on R(1). These systems have important practical applications and also are a three-dimensional generalization of the Bernfeld-Haddock conjecture. In this paper, by using comparative technique, we obtain the asymptotic behavior Of Solutions that each bounded solution of the systems tends to a constant vector under a desirable condition.
