Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (2): 297-306.

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Entire Solutions of a Certain Type of Nonlinear Differential-Difference Equation

Chen Minfeng, Gao Zongsheng   

  1. LMIB & School of Mathematics and Systems Science, Beihang University, Beijing 100191
  • Received:2015-09-23 Revised:2016-01-07 Online:2016-04-25 Published:2016-04-25
  • Supported by:

    Supported by the NSFC (11171013, 11371225)

Abstract:

In this paper, we investigate the differential-difference equations f'(z)2+P(z)2f(z+c)2=Q(z) and f'(z)2+P(z)2(f(z+c)-f(z))2=Q(z), where P(z) and Q(z) are nonzero polynomials. If the differential-difference equations admit a transcendental entire solution of finite order, then we can obtain the exact expression of the solution.

Key words: Differential-difference equation, Transcendental entire solution, Finite order

CLC Number: 

  • O175.29
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