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一类亚纯系数微分方程复振荡问题 被引量:1

On the Complex Oscillation of Some Differential Equation with Meromorphic Coefficient
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摘要 研究了齐次线性微分方程f(k) +A(z)f=0的解的零点收敛指数与A(z)的级的关系 ,表明方程解的零点收敛指数在一定条件下仅依赖于A(z) In this paper,we investigate the relationship between the exponent of convergence of zero-sequence of the solution of some homogeneous linear differential equation f (k) +A(z)f=0 and the order of growth of A(z).It is shown that the convergence of zero-sequence only depend on A(z) in some hypothesis.
作者 程涛 陈宗煊
出处 《江西师范大学学报(自然科学版)》 CAS 2002年第2期113-115,共3页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目 (1976 10 0 2 )
关键词 亚纯系数微分方程 复振荡问题 零点收敛指数 极点收敛指数 亚纯函数 非零亚纯解 exponent of convergence of zero-sequence exponent of convergence of pole-sequence order of growth
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  • 5Titchmars E C. Eigenfunction expansions assoiciated with second order differential equations[M]. Oxford: Oxford University Press, 1962.
  • 6Shen Chao-liang. The Liouville transformation,the density function and the complete transformability problem of the potential equation[J]. Inverse problems, 2005, 21 (2): 615-634.
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  • 8Shen Chao-liang. On the Liouville transformation and inverse spectra problem[J]. Inverse Problem Some, 2005, 21 (2): 519-591.
  • 9Titchmarsh E C. Eigenfunction expansion associated with second order differential equations[M]. Oxford: Clarendon Press, 1946.

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