Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 70, pp. 1-10.
Title: Growth and oscillation of solutions to linear differential
equations with entire coefficients having the same order
Author: Benharrat Belaidi (Univ. of Mostaganem, Algeria)
Abstract:
In this article, we investigate the growth and
fixed points of solutions of the differential equation
$$
f^{(k)}+A_{k-1}(z)f^{(k-1)}+\dots +A_{1}(z)f'+A_{0}(z)f=0,
$$
where $A_{0}(z),\dots$, $A_{k-1}(z)$ are entire functions.
Some estimates are given for the iterated order and iterated
exponent of convergence of fixed points of solutions of the
above equation when most of the coefficients have the same
order with each other.
Submitted February 17, 2009. Published June 01, 2009.
Math Subject Classifications: 34M10, 30D35.
Key Words: Linear differential equation;
growth of entire function; iterated order.