Oscillation and nonoscillation in a nonautonomous delay-logistic equation

Author:

Zhang B. G.,Gopalsamy K.

Abstract

Sufficient conditions are obtained for the delay-logistic equation x ˙ ( t ) = r ( t ) x ( t ) [ 1 x ( t τ ( t ) ) / K ] \dot x\left ( t \right ) = \\ r\left ( t \right )x\left ( t \right )\left [ {1 - x\left ( {t - \tau \left ( t \right )} \right )/K} \right ] to be respectively oscillatory and nonoscillatory.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Reference9 articles.

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3. The existence of periodic solutions of 𝑓′(𝑥)=-𝛼𝑓(𝑥-1){1+𝑓(𝑥)};Jones, G. Stephen;J. Math. Anal. Appl.,1962

4. On the non-linear difference-differential equation 𝑦′(𝑡)=[𝐴-𝐵𝑦(𝑡-𝜏)]𝑦(𝑡);Kakutani, S.,1958

5. Oscillating and monotone solutions of first-order differential equations with deviating argument;Koplatadze, R. G.;Differentsial\cprime nye Uravneniya,1982

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