Acta mathematica scientia, Series B >
LIMITING DIRECTION AND BAKER WANDERING DOMAIN OF ENTIRE SOLUTIONS OF DIFFERENTIAL EQUATIONS
Received date: 2015-06-08
Online published: 2016-10-25
Supported by
The work was supported by Shanghai Center for Mathematical Science China Scholarship Council (201206105015), the National Science Foundation of China (11171119, 11001057, 11571049) and the Natural Science Foundation of Guangdong Province in China (2014A030313422).
In this paper, we mainly investigate entire solutions of complex differential equations with coefficients involving exponential functions, and obtain the dynamical properties of the solutions, their derivatives and primitives. With some conditions on coefficients, for the solutions, their derivatives and their primitives, we consider the common limiting directions of Julia set and the existence of Baker wandering domain.
Jun WANG , Zongxuan CHEN . LIMITING DIRECTION AND BAKER WANDERING DOMAIN OF ENTIRE SOLUTIONS OF DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2016 , 36(5) : 1331 -1342 . DOI: 10.1016/S0252-9602(16)30072-8
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