Oscillation of solutions of first order difference equations

This thesis consists of four chapters. The first chapter is devoted to the introduction section and provide a generel knowledge of literature. In the second chapter, we mention some basic notions and studies so far. Our original results are given in the third chapter. In the third chapter, new oscillatory criteria is obtained for first order linear advanced difference equation given by ∇x(n)=x(n)-x(n-1) where {p(n)} is sequence of positive real numbers and {τ(n)} is sequence of integers and is not necessarily monotone such that τ(n)≥n for n≥1 and backward difference operator is given by ∇x(n)=x(n)-x(n-1). Finally, the discussion and conclusion part is given.