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周期微分方程中的一个扰动问题

One Perturbation Problem in Periodic Differential Equations
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摘要 利用值分布理论研究了2阶周期微分方程中的扰动问题,得到了系数为无穷e-型级周期整函数方程的一些扰动结果,完善了蒋翼迈和高仕安文中的扰动结果. The perturbation problem of periodic second order differential equation is investigated by using value distribution theory and some perturbation results are obtained for equation with periodic entire coefficients of infinite e-type order. The results of the results due to Chiang Yik-Man and Gao Shi-An are generalized.
作者 肖丽鹏 程筠
出处 《江西师范大学学报(自然科学版)》 CAS 北大核心 2012年第4期331-334,共4页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 国家自然科学基金数学天元专项基金(11126144) 江西省教育厅青年科学基金(GJJ12207)资助项目
关键词 周期微分方程 线性无关 扰动 periodic differential equation linearly independent perturbation
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参考文献11

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二级参考文献7

  • 1HAYMAN W. Meromorphic Functions[M]. Oxford:Oarendon Press,1964.
  • 2BANK S, LAINE I, LANGLEY J. Oscillation results for solutions of linear differential equations in the complex domain[J]. Results in Math, 1989,16:3 - 15.
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  • 7高仕安,陈特为.复振荡理论中的一个扰动问题[J].华南师范大学学报(自然科学版),2003,35(3):25-28. 被引量:2

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