Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 428936, 8 pages
doi:10.1155/2010/428936
Research Article

On the Exponent of Convergence for the Zeros of the Solutions of y′′+Ay′+By=0

Abdullah Alotaibi

Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Received 1 July 2010; Accepted 12 September 2010

Academic Editor: P. J. Y. Wong

Copyright © 2010 Abdullah Alotaibi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Let B and C be entire functions of order less than 1 with C≢0 and B transcendental. We prove that every solution f≢0 of the equation y′′+Ay′+By=0, A(z)=C(z)eαz, α∈ℂ∖{0} being has zeros with infinite exponent of convergence.