Yezhou Li , Heqing Sun . A NOTE ON THE JULIA SETS OF ENTIRE SOLUTIONS TO DELAY DIFFERENTIAL EQUATIONS^*[J]. Acta mathematica scientia, Series B, 2023 , 43(1) : 143 -155 . DOI: 10.1007/s10473-023-0109-4

[1] Verhulst P F. Notice sur la loi que la population suit dans son accroissement. Corresp Math Phys, 1838, 10: 113-126
[2] Hutchinson G.Circular causal systems in ecology. Ann N Y Acad Sci, 1948, 50: 221-246
[3] Laine I.Nevanlinna Theory and Complex Differential Equations. Berlin: Walter de Gruyter, 1993
[4] Ladas G, Qian C.Oscillation and global stability in a delay logistic equation. Dynam Stabil Syst, 1994, 9: 153-162
[5] Glass D S, Jin X F, Riedel-Kruse I H. Nonlinear delay differential equations and their application to modeling biological network motifs. Nat Commun, 2021, 12: 1788
[6] Smith H.An Introduction to Delay Differential Equations with Applications to the Life Science. Texts in Appl Math. Springer, 2011
[7] Tumura Y.On the extensions of Borel’s theorem and Saxer-Csillag’s theorem. Proc Phys Math Soc Japan, 1937, 19(3): 29-35
[8] Clunie J.On integral and meromorphic functions. J London Math Soc, 1962, 37: 17-27
[9] Hayman W K.Meromorphic functions. Oxford Mathematical Monographs. Oxford: Clarendon Press, 1964
[10] Heittokangas J, Latreuch Z, Wang J, Zemirni M.On meromorphic solutions of non-linear differential equa- tions of Tumura-Clunie type. Math Nach, 2021, 294(4): 748-773
[11] Mues E, Steinmets N.The theorem of Tumura-Clunie for meromorphic function. J London Math Soc, 1981, 23(2): 113-122
[12] Zheng J H.Value Distribution of Meromorphic Functions. Beijing: Tsinghua University Press, Springer Press, 2010
[13] Long J R, Wu P C, Wu X B.On the zero distribution of solutions of second order linear differential equations in the complex domain. N Z J Math, 2012, 42: 9-16
[14] Rossi J, Wang S P.The radial oscillation of solutions to ODE’s in the complex domain. Proc Edinb Math Soc, 1996, 39(3): 473-483
[15] Bergweiler W.Iteration of meromorphic functions. Bull Amer Math Soc, 1993, 29: 151-188
[16] Zheng J H.Dynamics of Transcendental Meromorphic Functions. Monograph of Tsinghua University. Bei- jing: Tsinghua University Press, 2006 (in Chinese)
[17] Qiao J Y.The value distribution and the Julia sets of entire functions. Acta Math Sin, 1993, 36: 418-422 (in Chinese)
[18] Baker I N.Sets of non-normality in iteration theory. J London Math Soc, 1965, 40: 499-502
[19] Qiao J Y.On limiting directions of Julia sets. Ann Acad Sci Fenn Math, 2001, 26: 391-399
[20] Qiu L, Wu S J.Radial distributions of Julia sets of meromorphic functions. J Aust Math Soc, 2006, 81(3): 363-368
[21] Wang J, Chen Z X.Limiting direction and Baker wandering domain of entire solutions of differential equations. Acta Math Sci, 2016, 36B(5): 1331-1342
[22] Wang J, Chen Z X.Limiting directions of Julia sets of entire solutions to complex differential equations. Acta Math Sci, 2017, 37B(1): 97-107
[23] Chen J C, Li Y Z, Wu C F.Radial distribution of Julia sets of entire solutions to complex difference equations. Mediterr J Math, 2020, 17: 184
[24] Huang Z G, Wang J.On the radial distribution of Julia sets of entire solutions of f(n) +A(z)f = 0. J Math Anal Appl, 2012, 387(2): 1106-1113
[25] Huang Z G, Wang J.On limit directions of Julia sets of entire solutions of linear differential equations. J Math Anal Appl, 2014, 409(1): 478-484
[26] Wang J, Yao X, Zhang C C.Julia limiting directions of entire solutions of complex differential equations. Acta Math Sci, 2021, 41B(4): 1275-1286
[27] Murai T.The deficiency of entire function with Fejér gaps. Ann Inst Four (Grenoble), 1983, 33: 39-58
[28] Goldberg A A, Ostrovskii I V.Value Distribution of Meromorphic Functions. Translations of Mathematical Monographs Series. Providence RI: Amer Math Soc, 2008
[29] Baker I N.The domains of normality of an entire function. Ann Acad Sci Fenn Math, 1975, 1: 277-283
[30] Zheng J H, Wang S, Huang Z G.Some properties of Fatou and Julia sets of transcendental meromorphic functions. Bull Austral Math Soc, 2002, 66(1): 1-8
[31] Hille E.Lecture on Ordinary Differential Equations. California-London-DonMills, Ontario: Addison-Wesley Publiching Company, Reading, Massachusetts-Menlo Park, 1969
[32] Long J R.Growth of solutions of second order complex linear differential equations with entire coefficients. Fac Sci and Math, University of Niš, Serbia, 2018, 32(1): 275-284
[33] Markushevich A I.Theory of Functions of a Complex Variable. Revised English Edition Translated and Edited by Richard A. Silverman. Englewood Cliffs, NJ: Prentice-Hall, Inc, 1965