Oscillation criteria for a class of the third order nonlinear dynamic equations with distributed delays
Yuanxian HUI1,2, Peiluan LI3, Lihua DAI2
1.School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006,China 2.School of Mathematics and Statistics, Puer University, Puer 665000, Yunnan Province, China 3.School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, Henan Province, China
Abstract：In the paper, oscillatory behaviors for a class of the third order nonlinear dynamic equations with distributed delays are studied. Using methods such as generalized Riccati transformation and Integral averaging technique, some new sufficient criteria are established that any solution of the equations will be either oscillatory or convergent to zero . The results extend the respective studies in recent literature, and give a number of examples to prove the efficiency.
惠远先, 李培峦, 戴丽华. 一类三阶非线性分布时滞动力方程的振动结果[J]. 浙江大学学报（理学版）, 2019, 46(3): 315-322.
Yuanxian HUI, Peiluan LI, Lihua DAI. Oscillation criteria for a class of the third order nonlinear dynamic equations with distributed delays. Journal of ZheJIang University(Science Edition), 2019, 46(3): 315-322.
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2019, Vol. 46 
