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系统科学与数学 2008
Growth of the Solutions of Higher Order Linear Differential Equations in an Angle
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Abstract:
The higher order linear differential equation $f^{(k)}+A_{k-1}f^{(k-1)}+\cdots+A_{1}f'+A_{0}f=0$ is considered, where $A_0, A_1, \cdots, A_{k-1}$ are analytic in an angle, and the growth and symptotic character of solutions of the equation restricted in the angle are obtained. Some existing results are improved.