| Complex oscillation of certain high non-homogeneous linear differential equations |
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| 作者姓名： | LI Chun-hong LI Jiang-tao |
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| 作者单位： | [1]College of Science, Chongqing University, Chongqing 400030, P.R. China [2]College of Mathematics and Information, China West Normal University, Nanchong 637002, P.R. China |
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| 基金项目： | Funded by the Natural Science Foundation of the Education Committee of Sichuan Province （2004A104）. |
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| 摘 要： | 1 Introduction and main results a Im this paper, we use the standard notations of the Nevanlinna theory (see Refs. 1-3]); and denote the order of growth of f ( z ) by σ ( f), the exponent of convergence of the zero-sequence and the sequence of distinct zeroes of f ( z ) by λ ( f) and λ ( f), respectively. It recalls the following definitions. Definition 1 5]. Let f ( z )be a meromorphic function, then the hyper-order σ 2( f)of f ( z ) is defined by _____ 2 σ ( f ) = lr i→m∞ loglologg…
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| 关 键 词： | 非均一性线性微分方程 收敛指数 复合振荡 可靠性 |
| 文章编号： | 1671-8224（2005）04-0233-06 |
| 收稿时间： | 2005-06-15 |
| 修稿时间： | 2005-10-10 |
Complex oscillation of certain high non-homogeneous linear differential equations |
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| LI Chun-hong LI Jiang-tao.Complex oscillation of certain high non-homogeneous linear differential equations[J].Journal of Chongqing University,2005,4(4):233-238. |
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| Authors: | LI Chun-hong LI Jiang-tao |
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| Abstract: | This present paper investigates the complex oscillation theory of certain high non-homogeneous linear differential equations and obtains a series of new results. |
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| Keywords: | differential equations order of growth exponent of convergence linear differential equations high complex oscillation present paper theory series results |
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