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Oscillation criteria for second order neutral dynamic equations of Emden-Fowler type with positive and negative coefficients on time scales 被引量:9

Oscillation criteria for second order neutral dynamic equations of Emden-Fowler type with positive and negative coefficients on time scales
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摘要 We investigate oscillation of certain second order neutral dynamic equations of Emden-Fowler type with positive and negative coefficients. We use some different techniques and apply Riccati transformation to establish new oscillatory criteria which include two necessary and sufficient conditions. Moreover, we point out that how the power γ plays its role. Some interesting examples are given to illustrate the versatility of our results. We investigate oscillation of certain second order neutral dynamic equations of Emden-Fowler type with positive and negative coefficients. We use some different techniques and apply Riccati transformation to establish new oscillatory criteria which include two necessary and sufficient conditions. Moreover, we point out that how the power γ plays its role. Some interesting examples are given to illustrate the versatility of our results.
出处 《Science China Mathematics》 SCIE CSCD 2017年第1期113-132,共20页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant No. 11271379) Guangzhou Postdoctoral Science Research Foundation Project (Grant No. gdbsh2014003)
关键词 neutral dynamic equations oscillation positive and negative coefficients Riccati transformation 正负系数 动力方程 中立型 振动准则 二阶 r型 Riccati变换 充分必要条件
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