Positive solutions of impulsive time-scale boundary value problems on the half-line

This thesis consists of four chapters including the introduction part. In the second chapter, basic definitions related to time scale and some theorems are given. In the third chapter, second order impulsive boundary value problem has been handled. Firstly, positive solution of impulsive boundary value problem has been acquired. Later, the criteria about the existence of positive solution of impulsive boundary value problem have been shown using four functionals fixed point theorem. Fourth chapter, has been seperated into four parts. In the first part, the lemmas which are necessary for the existence of positive solution have been formed and have been proved. In the second part, positive solution of m-point impulsive boundary value problem has been obtained. In the third part, at least one existence of positive solution has been demonstrated by means of fixed point theorem. In the fourth part, the example has been given.