On the behavior of solutions of a class of first-order linear difference equatons

In this thesis, the behavior of the solutions of a class of first-order linear difference equations with delay is investigated and some new results are given on the oscillations of their solutions. The thesis consist of five chapters. In the first chapter, information about the historical process and application areas of difference equations is given and some results obtained by the main studies on the oscillations of such equations are given. In the second chapter, basic definitions, about the difference equations and their oscillations are given. In the third chapter is the original chapter of this thesis and in there new results on the behavior of the solutions of a class of the first-order linear difference equations with delay are given. The fourth chapter is the original part of the thesis, and the behavior of the solutions of the first order delayed neutral difference equations is examined and new results are given. The fifth chapter is given as the discussion and conclusion part.