On Stability of Difference and Dynamic Equations

Abstract

Thesis Title: On Stability of Difference and Dynamic Equations. Named of candidate: Samah Mohammed Ahmed. In this thesis, I We present new results of the calculus based on the Hahn operator. I We establish an existence and uniqueness result of solutions of Hahn difference equations by using the method of successive approximations. I We establish the theory of linear Hahn difference equations. I We establish characterizations of many types of stability of linear Hahn difference equations of the form Dq,ωx(t) = p(t)x(t) + f(t).