微分方程整函数解的导数的径向分布和解的Baker游荡域的存在性

The Limiting Direction of the Derivative of the Solution of the Differential Equation and the Existence of the Baker Wandering Domain

摘要:

本文研究了一类形如：

f^'''+A₂(z)e^p₂(z)f^''+A₁(z)e^p₁(z)f^'+A₀(z)e^p₀(z)f=F(z)

的非齐次线性微分方程解f的导数的Julia集的径向分布问题以及讨论了方程的解的Baker游荡域的存在性。其中P_j(z)是次数n≥1的多项式，A_j(z)，F(z)是级小于n的整函数。 This paper is devoted to studying the Limiting Direction of the Derivative of the entire Solution f of the Differential Equation

Abstract: f^'''+A₂(z)e^p₂(z)f^''+A₁(z)e^p₁(z)f^'+A₀(z)e^p₀(z)f=F(z)

and the existence of the Baker Wandering Domain of f, where P_j(z)is polynomials of degree  n≥1, A_j(z)and F(z) are entire functions with max {σ(A_j),σ(F),j=0,1,2}＜n.

文章引用：吴米娜, 邱玲. 微分方程整函数解的导数的径向分布和解的Baker游荡域的存在性[J]. 理论数学, 2018, 8(6): 662-671. https://doi.org/10.12677/PM.2018.86089

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