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.
Oscillation Properties of a Logistic Equation with Several Delays
โ 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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๐ SIMILAR VOLUMES
Consider the delay differential equation xะ 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.
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.