On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Extremal Coefficients

Jianren Long, Chunhui Qiu and Pengcheng Wu

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

We consider that the linear differential equations , where , are entire functions. Assume that there exists , such that is extremal for Yang's inequality; then we will give some conditions on other coefficients which can guarantee that every solution of the equation is of infinite order. More specifically, we estimate the lower bound of hyperorder of if every solution of the equation is of infinite order.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:305710

DOI: 10.1155/2014/305710

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