Oscillation of Second Order Differential Equations

Abstract

Qualitative properties of solutions of differential equation assume importance in the absence of closed form solution. In case the solution are not expressible in term of the usual ‘known functions. An analysis of the equation is necessary to find the facets of the solution . one such qualitative property, which has wide applications, is the oscillation of solution. Which unfortunately is not always possible. A rewarding alternative is to resort to qualitative study. This point is asserted once again to justify the inclusion of qualitative theory to students who think that it’s otherwise out of place.