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Interval criteria for oscillation of nonlinear second-order dynamic equations on time scales

✍ Scribed by Douglas R. Anderson

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
585 KB
Volume
69
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Nonlinear oscillation of second-order dy
Nonlinear oscillation of second-order dynamic equations on time scales
✍ Douglas R. Anderson; A. Zafer πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 471 KB

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.

Oscillation of third order nonlinear del
Oscillation of third order nonlinear delay dynamic equations on time scales
✍ Taher S. Hassan πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 833 KB

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 Ξ³ β‰₯ 1 is the quotient of odd positive integers, a and r are positive rd-continuous functions on T, and the so-called delay function Ο„ : T β†’ T satisfies Ο„ (t) ≀