Oscilation of second order differetial equations

Abstract

ABSTRACT Qualitative properties of solutions of differential equation assume importance in the absence ofclosed form solutions. In case the solution is not expressible in term ol' 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 ofplace.