Baker Wandering Domain of Entire Solutions with Infinite Lower Order for Linear Differential Equations
The Baker wandering domains of entire solutions for general linear differential equations are studied by using the Nevanlinna theory and the comparison theorem in differential equations.When the coefficients and the non-homogeneous term of the equations have common non-transcendental directions,there is no Baker wandering domain for the entire solutions with infinite lower order.In addition,the conclusion still holds when the coefficients have common non-transcendental directions and the non-homogeneous term is of finite order.
linear differential equationentire functionBaker wandering domaintranscendental direction
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