A Study on Oscillation theory of Differential and Difference Equations

Abstract

In this thesis we examined, A study on oscillation theory of differential and newlinedifference equations . newlineChapter 1 provides the necessary introduction, motivation, and summary for the newlinepresent study. newlineChapter 2 deals with the new oscillatory criteria for the second-order nonlinear newlineneutral differential equations with advanced arguments. newlineChapter 3 investigates second-order neutral differential equations with super-linear newlinedistributed deviating arguments, and we obtained several conditions for the oscillation of newlineall solutions of the studied equation. newlineChapter 4 discussed oscillatory behaviour of solutions of second-order noncanonical newlineneutral differential equations of advanced-type. newlineChapter 5 we obtained some sufficient conditions for the oscillation of second-order newlinehalf-linear advanced differential equations with mixed neutral term. newlineFinally, Chapter 6 examined new sufficient conditions for all solutions of the thirdorder newlineadvanced difference equations with a negative middle term to be oscillatory newline