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OALib Journal期刊
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Growth of the Solutions of Higher Order Linear Differential Equations in an Angle
高阶线性微分方程解的角域增长性

Keywords: Differential equation,growth,angular domain
微分方程
,增长性,角域,高阶线性微分方程,微分方程解,角域,增长性,ANGLE,LINEAR,DIFFERENTIAL,EQUATIONS,HIGHER,ORDER,SOLUTIONS,结果,改进,渐近性,域内解,假设

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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.

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