Oscillatory properties of solutions of second order nonliner difference equatioins

Abstract

quotThe research reported in this thesis deals with oscillatory properties of solutions newlineof nonlinear second order difference equations. It is interesting and useful to study newlinethis kind of difference equations because they are discrete analogues of differential newlineequations and they do have physical applications. newlineBy employing the techniques such as: the averaging method, using discrete newlineinequality, using fixed point theorem and the prolific Lyapunov second method, newlineseveral oscillation criteria for the second order nonlinear difference equations of newlinevarious forms have been established. newlineExamples have been provided then and there for illustrative purpose.quot newline newline