Electron. J. Diff. Equ., Vol. 2010(2010), No. 81, pp. 1-11.

Oscillation of higher-order linear differential equations with entire coefficients

Zhi Gang Huang, Gui Rong Sun

Abstract:
This article is devoted to studying the solutions to the differential equation
$$ f^{(k)}+A_{k-1}(z)f^{(k-1)}+\dots +A_0(z)f=0,\quad k\ge 2, $$
where coefficients $A_j(z)$ are entire functions of integer order. We obtain estimates on the orders and the hyper orders of the solutions to the above equation.

Submitted February 10, 2010. Published June 15, 2010.
Math Subject Classifications: 30D35, 34M10.
Key Words: Linear differential equation; order; hyper order.

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Zhi Gang Huang
School of Mathematics and Physics
Suzhou University of Science and Technology
Suzhou, 215009, China
email: alexehuang@yahoo.com.cn
Gui Rong Sun
School of Mathematics and Physics
Suzhou University of Science and Technology
Suzhou, 215009, China
email: sguirong@pub.sz.jsinfo.net

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