Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON MEROMORPHIC SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL-DIFFERENCE EQUATIONS OF FIRST ORDER IN SEVERAL COMPLEX VARIABLES

  • Qibin Cheng (School of Science Beijing University of Posts and Telecommunications) ;
  • Yezhou Li (School of Science Beijing University of Posts and Telecommunications) ;
  • Zhixue Liu (School of Science Beijing University of Posts and Telecommunications)
  • Received : 2022.03.02
  • Accepted : 2022.11.10
  • Published : 2023.03.31
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Abstract

This paper is concerned with the value distribution for meromorphic solutions f of a class of nonlinear partial differential-difference equation of first order with small coefficients. We show that such solutions f are uniquely determined by the poles of f and the zeros of f - c, f - d (counting multiplicities) for two distinct small functions c, d.

Keywords

Acknowledgement

This work was financially supported by the National Natural Science Foundation of China (Grant Nos.12171050, 12101068, 12071047).

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