Utilizing the theory of dynamic systems on time scales, which unifi~ the theory of continuous and discrete dynamic systems, a n \_ece~\_\_\_\_ry and sufficient condition m given for the asymptotic behavior of solutions of higher order nonlinear equations.
Asymptotic behaviors of higher order nonlinear dynamic equations on time scales
β Scribed by Taixiang Sun; Hongjian Xi; Weiyong Yu
- Book ID
- 107620064
- Publisher
- Springer-Verlag
- Year
- 2010
- Tongue
- English
- Weight
- 543 KB
- Volume
- 37
- Category
- Article
- ISSN
- 1598-5865
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π SIMILAR VOLUMES
## a b s t r a c t In this paper, we will study asymptotic behavior of solutions to third-order nonlinear dynamic equations on time scales of the form 1 By using the Riccati technique and integral averaging technique, two different types of criteria are established, one of which extends some exist
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.