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Some results on difference Riccati equations

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Abstract

Some properties of solutions for the difference Riccati equations are obtained. The existence and forms of rational solutions, and the Borel exceptional value, zeros, poles and fixed points of transcendental solutions are researched.

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Authors and Affiliations

  1. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P. R. China

    Zong Xuan Chen

  2. Department of Mathematics, College of Natural Sciences Pusan National University, Pusan, 609-735, Korea

    Kwang Ho Shon

Authors
  1. Zong Xuan Chen
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  2. Kwang Ho Shon
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Corresponding author

Correspondence to Zong Xuan Chen.

Additional information

The first author is supported by National Natural Science Foundation of China (Grant No. 10871076); the second author is supported by Korea Research Foundation (KRF) grant funded by the Korea government (MEST) (Grant No. 2009-0074210)

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Chen, Z.X., Shon, K.H. Some results on difference Riccati equations. Acta. Math. Sin.-English Ser. 27, 1091–1100 (2011). https://doi.org/10.1007/s10114-011-9175-y

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  • DOI: https://doi.org/10.1007/s10114-011-9175-y

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