关于超越系数的Riccati方程亚纯解的增长性

Abstract

Abstract:

This paper deals with a problem of the growth of meromorphic solutions of Riccati equations and proves that an upper bound of the growth order given before and slightly modified here is a kind of optimal upper bound.

Key words: Ｒｉｃｃａｔｉｅｑｕａｔｉｏｎ, Ｍｅｒｏｍｏｒｐｈｉｃｓｏｌｕｔｉｏｎ, ｇｒｏｗｔｈｏｒｄｅｒ．

CLC Number:

　３４Ａ，３０Ｄ

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Yu Junyang . On the Growth of Meromorphic Solutions of Riccati Equations[J].Acta mathematica scientia,Series A, 1999, 19(1): 113-120.

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URL: http://121.43.60.238/sxwlxbA/EN/

http://121.43.60.238/sxwlxbA/EN/Y1999/V19/I1/113

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References

1 余军扬. 关于Riccati方程的代数体解. 上海交通大学学报，1997，31(12)：112-115

2 何育赞，肖修治. 代数体函数与常微分方程. 北京：科学出版社，1988

3 Hille E. Ordinary differential equations in the complex domain. New York: John Wiley & Sons, 1976

4 Laine I. Nevanlinna theory and complex differential equations. Berlin: De Cruyter, 1993

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On the Growth of Meromorphic Solutions of Riccati Equations

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