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Oscillation Properties of a Logistic Equation with Several Delays

โœ Scribed by Leonid Berezansky; Elena Braverman


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
161 KB
Volume
247
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES


On Oscillation of a Generalized Logistic
โœ Leonid Berezansky; Elena Braverman ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 125 KB

For a scalar delay generalized logistic equation explicit oscillation conditions are established for all the cases of parameters ฮฑ 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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Consider the delay differential equation xะˆ t q p t x t y s 0, where p t g ลฝw . q . C t ,ฯฑ , R and is a positive constant. We obtain a sharp sufficient condition 0 for the oscillation of this equation, which improves previously known results.

Sufficient Conditions for the Oscillatio
โœ J.S. Yu; X.H. Tang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 67 KB

In this paper sufficient conditions for the oscillation of all solutions of the delay difference equation x y x q p x s 0, n s 0, 1, 2, . . . , are established, where the coefficient p itself may be allowed to be oscillatory. We also give an n example to demonstrate the advantage of our results.