Existence of solutions for nonlinear boundary value problems on time scales

This thesis consists of four main chapters. In the first chapter, discussed problem is introduced. In chapter 2, some basic definitions and theorems on time scales are given. In the third chapter the existence, uniqueness and continuous dependence of solutions to the discussed problem are examined. Finally, in chapter 4, we use Krasnoselskii's fixed point theorem to prove the existence of at least one positive solution, Avery Henderson fixed point theorem to prove the existence of at least two positive solutions and Legget Williams fixed point theorem to prove the existence of at least three positive solutions. After the theorems, examples that satisfy these conditions are given.