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Entire solutions of differential-difference equations of Fermat type

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In this paper, we extend some previous works by Liu et al. on the existence of transcendental entire solutions of differential-difference equations of Fermat type. In addition, we also present a precise description of the associated entire solutions.

Abstract

In this paper, we extend some previous works by Liu et al. on the existence of transcendental entire solutions of differential-difference equations of Fermat type. In addition, we also present a precise description of the associated entire solutions.

참고문헌 (18)

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  10. Kai Liu, "The generalized Fermat type difference equations", 대한수학회보, 55(6), pp.1845~1858 (2018), 대한수학회
  11. Kai Liu, "On Entire Solutions of Some Differential-Difference Equations", Computational Methods and Function Theory, 13(3), pp.433~447 (2013), Springer Science and Business Media LLC[DOI]
  12. P. Montel, "Lecons sur les r´ecurrences et leurs applications" (1957), Gauthier-Villar
  13. J. -F. Tang, "The transcendental meromorphic solutions of a certain type of nonlinear differential equations", J. Math. Anal. Appl, 334(1), pp.517~527 (2007)[DOI]
  14. K. Yamanoi, "The second main theorem for small functions and related problems", Acta Math, 192(2), pp.225~294 (2004)[DOI]
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  18. Zhang Jie, "On some special difference equations of Malmquist type", 대한수학회보, 55(1), pp.51~61 (2018), 대한수학회

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