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On solutions to some nonlinear difference and differential equations

Pei-Chu Hu|Wei Chen|Yingying Zhang
대한수학회 (The Korean Mathematical Society)|2016.07|대한수학회지 (Journal of the KMS)|제53권 제4호|pp. 835-846

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키워드

differential equationsdifference equationsmeromorphic solutionsentire solutions
주제분류수학

초록

In this paper, we study entire solutions of some nonlinear difference equations and transcendental meromorphic solutons of some nonlinear differential equations. Our results generalize the results due to \cite{LK1}, \cite{ZX}.

Abstract

In this paper, we study entire solutions of some nonlinear difference equations and transcendental meromorphic solutons of some nonlinear differential equations. Our results generalize the results due to \cite{LK1}, \cite{ZX}.

참고문헌 (17)

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  3. W. Cherry, "Nevanlinna’s Theory of Value Distribution" (2001), Springer-Verlag
  4. Y. M. Chiang, "On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane", Ramanujan J, 16(1), pp.105~129 (2008)
  5. Y. M. Chiang, "On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions", Trans. Amer. Math. Soc, 361(7), pp.3767~3791 (2009)
  6. W. Hayman, "Meromorphic Functions" (1975), Clarendon Press
  7. I. Laine, "Nevanlinna Theory and Complex Differential Equations" (1993), Walter de Gruyter
  8. B. Q. Li, "On certain non-linear differential equations in complex domains", Arch. Math, 91(4), pp.344~353 (2008)
  9. K. Liu, "Meromorphic functions sharing a set with applications to difference equations", J. Math. Anal. Appl, 359(1), pp.384~393 (2009)
  10. K. Liu, "Entire solutions of Fermat type differential-difference equations", Arch. Math, 99(2), pp.147~155 (2012)
  11. K. Liu, "On entire solutions of some differential-difference equations", Comput. Methods Funct. Theory, 13(3), pp.433~447 (2013)
  12. P. Montel, "Lecons sur les familles normales de fonctions analytiques et leurs applications", pp.135~136 (1927), Gauthier-Villars
  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)
  14. C. C. Yang, "On entire solutions of a certain type of nonlinear differential equations", Bull. Aust. Math. Soc, 64(3), pp.377~380 (2001)
  15. C. C. Yang, "On the transcendental solutions of a certain type of nonlinear differential equations", Arch. Math, 82(5), pp.442~448 (2004)
  16. C. C. Yang, "Uniqueness Theory of Meromorphic Functions" (2003), Kluwer Academic Publishers
  17. X. Zhang, "On a certain type of nonlinear differential equations admitting transcendental meromorphic solutions", Sci. China Math, 56(10), pp.2025~2034 (2013)

관련 논문AI추천

On entire solutions of nonlinear difference-differential equationsSheng Li, Songmin Wang대한수학회 · 대한수학회보2013 · 제50권 제5호Some results on meromorphic solutions of certain nonlinear differential equationsLian-Zhong Yang, Nan Li대한수학회 · 대한수학회보2020 · 제57권 제5호A note on meromorphic solutions of complex differential-difference equationsLian-Zhong Yang, Xiao-Guang Qi대한수학회 · 대한수학회보2019 · 제56권 제3호Entire solutions of differential-difference equations of Fermat typeLinlin Wu, Pei-Chu Hu, Wenbo Wang대한수학회 · 대한수학회보2022 · 제59권 제1호Meromorphic solutions of some non-linear difference equations with three exponential termsMin-Feng Chen, Xiao-Min Huang, Zong Sheng Gao대한수학회 · 대한수학회보2024 · 제61권 제3호Some results on uniqueness of meromorphic solutions of difference equationsXiao Ming Wang, Zong Sheng Gao대한수학회 · 대한수학회논문집2017 · 제32권 제4호

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