阶半线性中立型微分方程的振动结果

罗李平,余元洪

系统科学与数学 ›› 2012, Vol. 32 ›› Issue (5) : 571-579.

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系统科学与数学 ›› 2012, Vol. 32 ›› Issue (5) : 571-579. DOI: 10.12341/jssms11889
论文

阶半线性中立型微分方程的振动结果

    罗李平1,余元洪2
作者信息 +

OSCILLATION RESULTS OF THIRD ORDER HALF LINEAR NEUTRAL DIFFERENTIAL EQUATIONS

    LUO Liping1, YU Yuanhong2
Author information +
文章历史 +

摘要

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不等式和分析技巧, 得到了保证该类方程一切解振动或者收敛到零的若干新的充分判据. 所得结果推广和改进了最近文献中的一些结果.

Abstract

Oscillatory properties of a class of third order half linear neutral differential equations are studied. By using generalized Riccati transformation, Hardy- ittlewood-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.

关键词

三阶中立型微分方程 / 振动准则 / 广义Riccati变换 / 半线性.

引用本文

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罗李平,余元洪. 阶半线性中立型微分方程的振动结果. 系统科学与数学, 2012, 32(5): 571-579. https://doi.org/10.12341/jssms11889
LUO Liping, YU Yuanhong. OSCILLATION RESULTS OF THIRD ORDER HALF LINEAR NEUTRAL DIFFERENTIAL EQUATIONS. Journal of Systems Science and Mathematical Sciences, 2012, 32(5): 571-579 https://doi.org/10.12341/jssms11889
中图分类号: 34C10    34K11    34K40   
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