OSCILLATION RESULTS OF THIRD ORDER HALF LINEAR NEUTRAL DIFFERENTIAL EQUATIONS

Luo Li-ping, Y. Yuanhong
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Abstract

Oscillatory properties of a class of third order half linear neutral differential equations are studied.By using generalized Riccati transformation,Hardy-Littlewood-Polya inequalities and analysis technique,some new sufficient criteria are obtained,which insure that any solution of this equation oscillates or converges to zero.The obtained results generalize and improve some known results in the latest literature.
三阶半线性中立型微分方程的振动结果
研究了一类三阶半线性中立型微分方程的振动性质。利用广义Riccati变换、Hardy-Littlewood-Polya不等式和分析技术,得到了保证该方程任意解振荡或收敛于零的新的充分判据。所得结果概括和改进了最新文献中的一些已知结果。
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