数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (2): 541-548.doi: 10.1016/S0252-9602(11)60254-3

• 论文 • 上一篇    下一篇

EXPRESSION OF MEROMORPHIC SOLUTIONS OF SYSTEMS OF ALGEBRAIC DIFFERENTIAL EQUATIONS WITH EXPONENTIAL COEFFICIENTS

高凌云   

  1. Department of Mathematics, |Jinan University, Guangzhou |510632, China
  • 收稿日期:2009-03-18 修回日期:2009-09-22 出版日期:2011-03-20 发布日期:2011-03-20
  • 基金资助:

    Project Supported by the Natural Science Foundation of China (10471065) and the Natural Science Foundation of Guangdong Province (04010474)

EXPRESSION OF MEROMORPHIC SOLUTIONS OF SYSTEMS OF ALGEBRAIC DIFFERENTIAL EQUATIONS WITH EXPONENTIAL

 GAO Ling-Yun   

  1. Department of Mathematics, |Jinan University, Guangzhou |510632, China
  • Received:2009-03-18 Revised:2009-09-22 Online:2011-03-20 Published:2011-03-20
  • Supported by:

    Project Supported by the Natural Science Foundation of China (10471065) and the Natural Science Foundation of Guangdong Province (04010474)

摘要:

Using the Nevanlinna theory of the value distribution of meromorphic functions and theory of differential algebra, we investigate the problem of the forms of meromorphic solutions of some specific systems of generalized higher order algebraic differential equations with exponential coefficients and obtain some results.

关键词: Expression, exponential coefficients, systems of differential equations

Abstract:

Using the Nevanlinna theory of the value distribution of meromorphic functions and theory of differential algebra, we investigate the problem of the forms of meromorphic solutions of some specific systems of generalized higher order algebraic differential equations with exponential coefficients and obtain some results.

Key words: Expression, exponential coefficients, systems of differential equations

中图分类号: 

  • 34M10