An oscillation criteria for second-order linear differential equations

Abstract

We establish an oscillation criteria for a class of second-order linear differential equations (p(t)x′(t))′ + q(t)x(t) = 0, t ε [0, ∞), via Levin's comparison theorem. We employ an interval oscillation technique for oscillation of the above equation. This approach depends only on the behavior of q in certain interval. In this study, we allow the sign-changing nature of q. Using this approach, we also ascertain to answer the oscillatory behavior of a number of linear differential equations. © 2011 InforMath Publishing Group.