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J. Clunie (1962)
On Integral and Meromorphic FunctionsJournal of The London Mathematical Society-second Series
J. Heittokangas, R. Korhonen, I. Laine (2002)
On meromorphic solutions of certain nonlinear differential equationsBulletin of the Australian Mathematical Society, 66
CC Yang, P Li (2004)
On the transcendental solutions of a certain type of nonlinear differential equationsArch. Math., 82
Ping Li, Chung-Chun Yang (2006)
On the nonexistence of entire solutions of certain type of nonlinear differential equationsJournal of Mathematical Analysis and Applications, 320
I. Laine (1992)
Nevanlinna Theory and Complex Differential Equations
Chung-Chun Yang, I. Laine (2010)
On analogies between nonlinear difference and differential equations, 86
B. Li (2008)
On certain non-linear differential equations in complex domainsArchiv der Mathematik, 91
Ping Li (2008)
Entire solutions of certain type of differential equations IIJournal of Mathematical Analysis and Applications, 375
LW Liao, CC Yang, JJ Zhang (2013)
On meromorphic solutions of certain type of non-linear differential equationsAnn. Acad. Sci. Fenn. Math., 38
W Hayman (1964)
Meromorphic Functions
I Laine, CC Yang (2009)
Entire solutions of some non-linear differential equationsBull. De La Soc. Des Sci. Et Des Lett. De Lódí LIX, 2009
Chung-Chun Yang, H. Yi (2004)
Uniqueness Theory of Meromorphic Functions
Chung-Chun Yang (1970)
A GENERALIZATION OF A THEOREM OF P. MONTEL ON ENTIRE FUNCTIONS, 26
CC Yang (2001)
On entire solutions of a certain type of nonlinear differential equationBull. Austral. Math. Soc., 64
T. Shimizu, K. Yosida, S. Kakutani (1935)
On Meromorphic Functions. I, 17
Chung-Chun Yang (2001)
On entire solutions of certain type of nonlinear differential equationsAIMS Mathematics
Chung-Chun Yang, Ping Li (2004)
On the transcendental solutions of a certain type of nonlinear differential equationsArchiv der Mathematik, 82
In this paper, we study meromorphic solutions of non-linear differential equations of the form $$f^n+P_d(f)=p_1e^{\alpha _1(z)}+p_2e^{\alpha _2(z)}$$ f n + P d ( f ) = p 1 e α 1 ( z ) + p 2 e α 2 ( z ) , where $$\alpha _1,\alpha _2$$ α 1 , α 2 are polynomials of degree $$k(\ge 1)$$ k ( ≥ 1 ) , $$p_1$$ p 1 , $$p_2$$ p 2 are small meromorphic functions of $$e^{z^k}$$ e z k , $$P_\mathrm{d}(f)$$ P d ( f ) is a differential polynomial in f of degree d with small meromorphic functions of f as its coefficients. Some sufficient conditions on the non-existence of meromorphic solutions of such equations are provided. Our results complement some previous results.
Computational Methods and Function Theory – Springer Journals
Published: Jun 6, 2019
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