LIMITING DIRECTION AND BAKER WANDERING DOMAIN OF ENTIRE SOLUTIONS OF DIFFERENTIAL EQUATIONS

doi:10.1016/S0252-9602(16)30072-8

Abstract

Abstract:

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.

Key words: limiting direction, Baker wandering domain, entire function, linear differential equation

CLC Number:

34M10

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.

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