Oscillation for Third-Order Nonlinear Delay Dynamic Equations on Time Scales

Shou Hua Liu; Quan Xin Zhang; Li Gao

doi:10.4028/www.scientific.net/AMM.475-476.1578

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 475-476Oscillation for Third-Order Nonlinear Delay...

Oscillation for Third-Order Nonlinear Delay Dynamic Equations on Time Scales

Abstract:

The oscillation for certain third-order nonlinear neutral delay dynamic equations on time scales is discussed in this article. By using the generalized Riccati transformation and the inequality technique, three new different sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. The results obtained essentially generalize and improve earlier ones.

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Periodical:

Applied Mechanics and Materials (Volumes 475-476)

Pages:

1578-1582

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.475-476.1578

Citation:

Cite this paper

Online since:

December 2013

Authors:

Shou Hua Liu, Quan Xin Zhang, Li Gao

Keywords:

Delay Dynamic Equation, Oscillation, Riccati Transformation, Third-Order, Time Scale

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