Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (2): 541-548.doi: 10.1016/S0252-9602(11)60254-3

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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)

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

CLC Number: 

  • 34M10
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