Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 81, pp. 1-11.
Title: Oscillation of higher-order linear differential
equations with entire coefficients
Authors: Zhi Gang Huang (Suzhou Univ. of Science and Tech., China)
Gui Rong Sun (Suzhou Univ. of Science and Tech., China)
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.