Oscillatory behavior of solutions of some neutral type difference equations

Abstract

The thesis studies the oscillatory and asymptotic behavior of solutions newlineof the following neutral type difference equations newline1. Existence of nonoscillatory solutions and oscillation of bounded newlinesolutions of neutral type difference equations with positive and newlinenegative coefficients. newline2. Asymptotic behavior of nonoscillatory solutions of neutral type newlinedelay difference equations. newline3. Oscillatory behavior of solutions of neutral type difference newlineequations with damping term. newline4. Oscillatory behavior of solutions of neutral type difference newlineequations with nonlinear neutral term. newline5. Oscillatory behavior of solutions of neutral type difference newlineequations with positive and negative coefficients. newlineThe results presented in the thesis are obtained by using averaging techniques, comparison theorems, discrete inequality and fixed point newlinetheorem. Examples are provided in the text of the thesis to illustrate the newlineresults. newline