Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (6): 1911-1920.doi: 10.1007/s10473-021-0608-0

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THE GROWTH OF DIFFERENCE EQUATIONS AND DIFFERENTIAL EQUATIONS

Zongxuan CHEN1, Ranran ZHANG2, Shuangting LAN3, Chuangxin CHEN4   

  1. 1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China;
    2. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China;
    3. School of Mathematics and Systems Sciences, Guangdong Polytechnic Normal University, Guangzhou 510665, China;
    4. College of Computational Sciences, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China
  • Received:2021-03-10 Revised:2021-07-14 Online:2021-12-25 Published:2021-12-27
  • Supported by:
    This work is supported by the National Natural Science Foundation of China (11771090, 11871260, 11761035, 11801093, 11801110).

Abstract: In this paper, we mainly apply a new, asymptotic method to investigate the growth of meromorphic solutions of linear higher order difference equations and differential equations. We delete the condition (1.6) of Theorems E and F, yet obtain the same results for Theorems E and F. We also weaken the condition (1.4) of Theorems C and D.

Key words: asymptotic Method, difference equations, differential equations

CLC Number: 

  • 30D35
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