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Applied Mathematics A Journal of Chinese Universities  2020, Vol. 35 Issue (2): 211-222    DOI:
    
Oscillation theorems for third-order nonlinear delay dynamic equations on time scales
FENG Rui-hua, ZHANG Zhi-yu
1. School of Math. Sci., North University of China, Shanxi 030051;
2. Dept. of Sci., Taiyuan Institute of Technology, Shanxi 030008
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Abstract  This paper is concerned with the oscillatory behavior of third-order nonlinear delay
dynamic equations on time scales. By using Riccati transformation and inequality techniques, the
Leighton-type, Philos-type and Kamenev-type oscillation criteria for a class of delay dynamic equations
on time scales are obtained. Our results improve and generalize the corresponding results in the existing
literatures, and give an example to verify the validity of the obtained results.


Key wordstime scale      third-order dynamic equation      delay      Riccati transformation      inequality technique      oscillation     
Published: 07 July 2020
CLC:  O175.14  
Cite this article:

FENG Rui-hua, ZHANG Zhi-yu. Oscillation theorems for third-order nonlinear delay dynamic equations on time scales. Applied Mathematics A Journal of Chinese Universities, 2020, 35(2): 211-222.

URL:

http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2020/V35/I2/211


时标上三阶非线性时滞动力方程的振动性定理

本文研究时标上三阶非线性时滞动力方程的振动性, 利用Riccati变换和不等
式技巧, 得到了较广泛的一类时滞动力方程的Leighton型, Philos型和Kamenev型振动
定理, 改进和推广了已有文献中的相应结果, 并给出实例验证了所得结果的有效性.

关键词: 时标,  三阶动力方程,  时滞,  Riccati变换,  不等式技巧,  振动性 
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