| PERTURBATION RESULTS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS |
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| 作者姓名： | Huang Zhibo Chen Zongxuan |
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| 作者单位： | Huang Zhibo Chen Zongxuan School of Math.Sci.，South China Normal Univ.，Guangzhou 510631，China. |
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| 摘 要： | Two perturbation results on the linear differential function f" ∏(z)A(z)f = 0 areobtained, where ∏(z) and A(z) are periodic entire functions with period 2πi and σe(∏) ＜σe(A).
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| 关 键 词： | 二阶线性微分方程 复杂振动 微分函数 周期性 |
| 收稿时间： | 15 January 2007 |
| 修稿时间： | 2007-01-15 |
Perturbation results of second order linear differential equations with periodic coefficients |
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| Huang Zhibo Chen Zongxuan.PERTURBATION RESULTS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS[J].Applied Mathematics A Journal of Chinese Universities,2007,22(4):405-412. |
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| Authors: | Huang Zhibo Chen Zongxuan |
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| Affiliation: | (1) School of Math. Sci., South China Normal Univ., Guangzhou, 510631, China |
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| Abstract: | Two perturbation results on the linear differential function f″ + Π(z)A(z)f = 0 are obtained, where Π(z) and A(z) are periodic entire functions with period 2πi and σ
e(Π) < σ
e(A).
Supported by the College’s Ph.D Foundation of China (20050574002) and the Natural Science Foundation of Guangdong Province(06025059). |
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| Keywords: | complex oscillation differential function period linearly dependent linearly independent |
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