Abstract
In this paper, we shall utilize Nevanlinna value distribution theory and normality theory to study the solvability of a certain type of functional-differential equations. We also consider the solutions of some nonlinear differential equations.
Similar content being viewed by others
References
J Clunie, W K Hayman. The spherical derivative of integral and meromorphic functions, Comment Math Helv, 1966, 40: 117–148.
A A Goldberg, I V Ostrovskii. Value Distribution of Meromorphic Functions, Transl Math Monogr 236, 2008, pp 94.
W K Hayman. Meromorphic Functions, Oxford Math Monogr, Oxford at the Clarendon Press, 1964.
J Heittokangas, R Korhonen, I Laine. On meromorphic solutions of certain nonlinear differential equations, Bull Austral Math Soc, 2002, 66: 331–343.
V Ngoan, I V Ostrovskiĭ. The logarithmic derivative of a meromorphic function, Akad Nauk Armyan SSR Dokl, 1965, 41: 272–277. (In Russian)
X C Pang, L Zalcman. Normal families and shared values, Bull London Math Soc, 2000, 32: 325–331.
C C Yang. On entire solutions of a certain type of nonlinear differential equations, Bull Austral Math Soc, 2001, 64: 377–380.
C C Yang, P Li. On the transcendental solutions of a certain type of nonlinear differential equations, Arch Math, 2004, 82: 442–448.
C C Yang, H X Yi. Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, Dordrecht, 2003.
L Yang. Value Distribution Theory, Springer-Verlag, Berlin, 1993.
K Yosida. On a class of meromorphic functions, Proc Phys-Math Soc Japan, 1934, 16: 227–235.
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by the National Natural Science Foundation of China (11171184) and the Scientific Research Foundation of CAUC, China (2011QD10X).
Rights and permissions
About this article
Cite this article
Zhang, Xb., Yi, Hx. Entire solutions of a certain type of functional-differential equations. Appl. Math. J. Chin. Univ. 28, 138–146 (2013). https://doi.org/10.1007/s11766-013-3039-4
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11766-013-3039-4