Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 58189, 13 pages
doi:10.1155/2007/58189
Research Article
On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations
Department of Mathematics, South China Normal University, Guangzhou 510631, China
Received 13 March 2007; Accepted 21 June 2007
Academic Editor: Patricia J. Y. Wong
Copyright © 2007 Zong-Xuan Chen and Shi-An Gao. 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
We investigate properties of the zeros of solutions for higher-order periodic differential equations, and prove that under certain hypotheses, the convergence exponent of zeros of the product of two linearly independent solutions is infinite.