Limiting directions of Julia sets of entire solutions to complex differential equations. (English) Zbl 1389.37026
Summary: In this paper, we mainly investigate the dynamical properties of entire solutions of complex differential equations. With some conditions on coefficients, we prove that the set of common limiting directions of Julia sets of solutions, their derivatives and their primitives must have a definite range of measure.
MSC:
| 37F50 | Small divisors, rotation domains and linearization in holomorphic dynamics |
| 34M05 | Entire and meromorphic solutions to ordinary differential equations in the complex domain |
| 30D35 | Value distribution of meromorphic functions of one complex variable, Nevanlinna theory |
