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中立型微分方程的正解存在性及非振动解的渐近性 被引量:2

Existence and Asymptotic Behaviors of Positive Solution of Neutral Differential Equation
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摘要 研究中立型微分方程的正解存在性和非振动解的渐近性,得到其正解存在性的1个充分条件,给出中立型微分方程每一个非正振动解趋向于零和非振动解下确界趋向于零(或上确界趋向正无穷大)的新判据. The existence and asymptotic behaviors of nonoscillatory solution of neutral differential equation are studied. Sufficient condition is established for existence and asymptotic behaviors of nonoscillatory solution of the system. A new criterion for every nonoscillatory solution of neutral differential equation tending to zero and infimum of nonoscillatory solution tending to zero (or supremum of nonoscillatory solution tending to +∞) is given.
作者 严建明
出处 《广西科学》 CAS 2008年第1期7-9,13,共4页 Guangxi Sciences
关键词 微分方程 非振动解 渐近性 differential equation, nonoscillatory solution,asymptotic behaviors
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参考文献6

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二级参考文献3

  • 1王其如,烟台师范学院学报,1993年,3期,34页
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