Department of Mathematics
Permanent URI for this collection
Browse
Browsing Department of Mathematics by Author "DOĞRU AKGÖL, Sibel"
Now showing 1 - 1 of 1
Results Per Page
Sort Options
Item EXISTENCE OF SOLUTIONS FOR HIGHER ORDER MULTI-POINT IMPULSIVE BOUNDARY VALUE PROBLEMS ON TIME SCALES(2022-06-14) KUŞ, Murat Eymen; DOĞRU AKGÖL, Sibel; GEORGIEV, Svetlin G.In this thesis, we investigate the sufficient conditions for existence of solutions of multi-point higher order impulsive boundary value problems on time scales. In par ticular, a class of third order impulsive boundary value problem and a class of 2n+1, n ≥ 1, order impulsive boundary value problem is studied. In chapter 1, we give the definitions and basic notions on time scales calculus. Then, we present some exam ples and give the fixed point theorems that are used in the thesis. Chapter 2 is devoted to existence of solutions of third order multi-point dynamic impulsive boundary value problems. In chapter 3, we focus on existence of solutions of multi-point dynamic impulsive boundary value problems of odd order. Finally, we give a short conclusion in Chapter 4. The results in this thesis are published/accepted for publication in the Georgian Mathematical Journal and Miskolc Mathematical Notes, respectively.