Abstract and Applied Analysis
Volume 2011 (2011), Article ID 420589, 8 pages
http://dx.doi.org/10.1155/2011/420589
Research Article

Two-Point Oscillation for a Class of Second-Order Damped Linear Differential Equations

Kong Xiang-Cong and Zheng Zhao-Wen

School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China

Received 20 May 2011; Revised 18 July 2011; Accepted 20 July 2011

Academic Editor: Svatoslav Staněk

Copyright © 2011 Kong Xiang-Cong and Zheng Zhao-Wen. 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

Using the comparison theorem, the two-point oscillation for linear differential equation with damping term y′′+(f(x)/(x-x2)α)y′ + (g(x)/(x−x2)β)y=0 is considered, where α,β>0; f(x),g(x)>0, and f(x),g(x)∈C(I¯), I=(0,1). Results are obtained that 0<α<3/2, β>3 or α>3/2, β>2α imply the two-point oscillation of the equation.