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Oscillation and linearized oscillation of a logistic equation with several delays

机译:时滞逻辑方程的振动性和线性化振动

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For a scalar delay logistic equation y'(t) = y(t) Sigma(k-1)(m) r(k)(t) [1 - y(h(k)(t))/K], h(k)(t) less than or equal to t, a connection between oscillating properties of this equation, the corresponding differential inequalities and the linear equation x'(t) + Sigma(k=1)(m) r(k)(t)x(h(k)(t)) = 0 is established: Explicit nonoscillation and oscillation conditions are presented. When h(k)(t) = t - tau(k), k = 1, 2,..., m, we also investigate the linearized oscillation of Eq. (*). (C) 2002 Published by Elsevier Science Inc. [References: 5]
机译:对于标量延迟对数方程y'(t)= y(t)Sigma(k-1)(m)r(k)(t)[1- y(h(h(k)(t))/ K],h (k)(t)小于或等于t,此方程的振动性质,相应的微分不等式与线性方程x'(t)+ Sigma(k = 1)(m)r(k)( t)x(h(k)(t))= 0:提出了明确的非振动和振动条件。当h(k)(t)= t-tau(k),k = 1,2,...,m时,我们还研究了方程的线性振荡。 (*)。 (C)2002由Elsevier Science Inc.出版。[参考:5]

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