Oscillation theorems for second-order nonlinear neutral delay dynamic equations on time scales
✍ Scribed by Samir H. Saker; Donal O’regan; Ravi P. Agarwal
- Book ID
- 106278368
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2008
- Tongue
- English
- Weight
- 367 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1439-7617
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📜 SIMILAR VOLUMES
Interval oscillation criteria are established for a second-order nonlinear dynamic equation on time scales by utilizing a generalized Riccati technique and the Young inequality. The theory can be applied to second-order dynamic equations regardless of the choice of delta or nabla derivatives.
It is the purpose of this paper to give oscillation criteria for the third order nonlinear delay dynamic equation on a time scale T, where γ ≥ 1 is the quotient of odd positive integers, a and r are positive rd-continuous functions on T, and the so-called delay function τ : T → T satisfies τ (t) ≤