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Oscillation of fixed points of solutions and their derivatives of some higher linear differential equations. (English) Zbl 1299.34280
Summary: We investigate the relationship between solutions and their derivatives for the differential equation \[ f^{(k)}+A_{k-1}f^{(k-1)}+\dots +A^0f=0 \] with \(k\geq 2\) and entire functions of finite iterated \(p\)-order, when \(A_j\;(j=0,1,\dots ,k-1)\) are entire functions of finite iterated \(p\)-order in order to generalize and extend the results given by Wang and Lü, Liu and Zhang and Belaïdi.
MSC:
34M10 Oscillation, growth of solutions to ordinary differential equations in the complex domain
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
34M03 Linear ordinary differential equations and systems in the complex domain
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