数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (3): 814-820.doi: 10.1016/S0252-9602(13)60040-5

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THE GROWTH ORDER OF SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENCE EQUATIONS

高凌云   

  1. Department of Mathematics, Jinan University, Guangzhou 510632, China
  • 收稿日期:2012-03-05 修回日期:2012-10-02 出版日期:2013-05-20 发布日期:2013-05-20
  • 基金资助:

    The project is supported by the Natural Science Foundation of China (10471065) and the Natural Science Foundation of Guangdong Province (04010474).

THE GROWTH ORDER OF SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENCE EQUATIONS

 GAO Ling-Yun   

  1. Department of Mathematics, Jinan University, Guangzhou 510632, China
  • Received:2012-03-05 Revised:2012-10-02 Online:2013-05-20 Published:2013-05-20
  • Supported by:

    The project is supported by the Natural Science Foundation of China (10471065) and the Natural Science Foundation of Guangdong Province (04010474).

摘要:

Using Nevanlinna theory of the value distribution of meromorphic functions and Wiman-Valiron theory of entire functions, we investigate the problem of growth order of solutions of a type of systems of difference equations, and extend some results of the growth order of solutions of systems of differential equations to systems of difference equat

关键词: Growth order, difference equations, entire function

Abstract:

Using Nevanlinna theory of the value distribution of meromorphic functions and Wiman-Valiron theory of entire functions, we investigate the problem of growth order of solutions of a type of systems of difference equations, and extend some results of the growth order of solutions of systems of differential equations to systems of difference equat

Key words: Growth order, difference equations, entire function

中图分类号: 

  • 30D05