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On oscillation of a multiplicative delay logistic equation

✍ Scribed by L. Berezansky; E. Braverman


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
358 KB
Volume
47
Category
Article
ISSN
0362-546X

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On Oscillation of a Generalized Logistic
✍ Leonid Berezansky; Elena Braverman πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 125 KB

For a scalar delay generalized logistic equation explicit oscillation conditions are established for all the cases of parameters Ξ± k , i.e., sublinear, superlinear, and also mixed ones. Coefficients r k t and delays h k t are not assumed to be continuous.

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## Abstract Sufficient conditions are obtained for all positive solutions of the diffusive delay‐logistic system magnified image to be oscillatory about the positive equilibrium K. A comparison result is established with which the global asymptotic stability of the positive equilibrium is investiga