New Oscillatory Theorems for Third-Order Nonlinear Delay Dynamic Equations on Time Scales - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.1, January 2018

New Oscillatory Theorems for Third-Order Nonlinear Delay Dynamic Equations on Time Scales ()

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DOI: 10.4236/jamp.2018.61023 684 Downloads 1,321 Views Citations

Author(s)

Li Gao¹, Shouhua Liu¹, Xiaotong Zheng²

Affiliation(s)

¹College of Science, Binzhou University, Shandong, China.
²School of Statistics, Renmin University of China, Beijing, China.

ABSTRACT

This paper is concerned with the oscillatory properties of the third-order nonlinear delay dynamic equations of the form

on time scales , where is a quotient of odd positive integers. Applying the inequality technique we present two new sufficient conditions which ensure that every solution of equations is oscillatory or converges to zero. The results obtained improve and complement some known results in the literature.

KEYWORDS

Oscillatory, Third Order, Delay Dynamic Equation, Generalized Riccati Transformation, Time Scale

Share and Cite:

Gao, L. , Liu, S. and Zheng, X. (2018) New Oscillatory Theorems for Third-Order Nonlinear Delay Dynamic Equations on Time Scales. Journal of Applied Mathematics and Physics, 6, 232-246. doi: 10.4236/jamp.2018.61023.

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