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Nonlinear oscillation of second-order dynamic equations on time scales

✍ Scribed by Douglas R. Anderson; A. Zafer


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
471 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis


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.


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Oscillation of third order nonlinear del
✍ 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) ≀